a boat takes 2 hours to travel 15 miles upstream against the current

Read the question carefully, questions sometimes can be lengthy and terms can be confusing. Find the two numbers. Rate of current = 2 mph, rate of boat in still water = 6 mph.Answered. How long does it take him to go 5 km in stationary water? 2 1/5 gallons were regular soda, and the rest was diet soda. This is an alternate ISBN. 1. Our team will review it before it's shown to our readers. That is, it takes Bill 2 hours to complete the report and it takes Maria 4 hours to complete the same report, so if Bill and Maria work together it will take 6 hours to complete the report. . Hence, \[H+4=0 \quad \text { or } \quad H-21=0\]. Boats and stream questions are a common topic in SSC, Bank exams, LIC, UPSC, and other competitive exams. Let x be the speed of the train. Multiply both sides of this equation by the common denominator 10x(2x + 1). Required fields are marked *. Lesson Title: Originally Answered: It takes aboat 2 hours to travel 24 miles downstream, and 3 hours to travel 18 miles upstream. Note that each row of Table \(\PageIndex{1}\) has two entries entered. still water and the speed of the current. We can calculate the rate at which Hank is working alone by solving the equation Work \(=\) Rate \(\times\) Time for the Rate, then substituting Hanks data from row one of Table \(\PageIndex{7}\). That is, \[\text { Work }=\text { Rate } \times \text { Time. Again, it is very important that we check this result. If they work together, it takes them 10 hours. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. Jacob is canoeing in a river with a 5 mph current. We'll put 36 in our chart for the distance downstream, and we'll put 3 in the chart for the time downstream. Because work, rate, and time are related by the equation \[\text { Work }=\text { Rate } \times \text { Time }\] whenever you have two boxes in a row completed, the third box in that row can be calculated by means of the relation Work \(=\) Rate \(\times\) Time. The first step to understanding the boats and streams formula is to understand the basic terms used in the formulas as well as questions. what is the speed of the boat in still water and of the current river? Therefore, their combined rate is 1/2 + 1/4 reports per hour. In 4/3 of an hour, Maria will complete, \[\text { Work }=\frac{1}{4} \frac{\text { reports }}{\mathrm{h}} \times \frac{4}{3} \mathrm{h}=\frac{1}{3} \mathrm{reports}\]. How long will it take them to finish the report if they work together? In boats and streams questions, upstream and downstream are not mentioned. Expand, simplify, make one side zero, then factor. He paddles 5 miles upstream against the current and then returns to the starting location. It takes Sanjay 7 hours to paint the same room. A merchant borrowed $650 for one year and repaid the bank $682.50 at the end of the year. Find the rate of the current and the rate of the boat in still water. Let's say I'm in a 10 mph current in a canoe. Copyright 2021, Leverage Edu. 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning, a Question What is the rate of the boat in still water and what is the rate of the current? Total time problem. Find the speed of the current and the speed of the boat in still water. Find the speed (mph) of Jacobs canoe in still water. Let x = Suppose that he can canoe 4 miles upstream in the same amount of time as it takes him to canoe 8 miles downstream. Making educational experiences better for everyone. Get a free answer to a quick problem. If the boat is traveling The total time of the trip is 9 hours. Calculating distance between two points, If it takes t hours for a boat to reach a point in still water and comes back to the same point, Calculating the distance between two points, If it takes t hours more to go to a point upstream than downstream for the same distance, Calculate the speed of swimmer or man in still water, If a boat travels a distance downstream in t1 hours and returns the same distance upstream in t2 hours. Find the speed (mph) of Boriss kayak in still water. A boat takes 2 hours to travel 15 miles upriver against the current. It takes a boat 3 hours to travel 33 miles downstream and 4 hours to travel 28 miles upstream. Then. A boat travels at a constant speed of 3 miles per hour in still water. __________________ 3. Dec. 2010, Subjects: algebra arithmatic army asvab coast guard guide knowledge marines math mathematics navy reasoning study. How long is the flag if its width is 5 feet? Find the speed of the current. The last part of the equation is to subtract the travel time by boat from the time the party starts. Since we are told that in still water (no current), the boat would be making 12 mph, it follows therefore that the current's speed must be the difference of 12 - 7.5, or 4.5 mph. Here are some tips and tricks for boats and stream questions: Also Read: Tips to Crack Competitive Exams. This is reflected in the entries in the first row of Table \(\PageIndex{5}\). . His speed of the boat in still water is 3 km/hr. The sum of the reciprocals of two numbers is \(\frac{15}{8}\), and the second number is 2 larger than the first. If he can paddle 5 miles upstream in the same amount of time as it takes his to paddle 9 miles downstream, what is the speed of the current? We still need to answer the question, which was to find two numbers such that the sum of their reciprocals is 7/10. How long will it take them if they work together? The site owner may have set restrictions that prevent you from accessing the site. Best Answer #1 +118288 +10 . The sum of a number and its reciprocal is 29/10. to work with: The speed of the current is 2 miles per hour. 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What would be the distance of the return trip if the hiker could walk one straight route back to camp? The total time of the trip is 6 hours. \[\begin{aligned} 3 t &=4 \\ t &=4 / 3 \end{aligned}\]. Upstream- When the boat is flowing in the opposite direction of the stream, it is called Upstream. Australia, Leverage Edu Tower, Here are some practice questions that will help you understand the pattern of questions and for self-evaluation. Example 3. In this section, we will investigate the use of rational functions in several applications. We add 120c to both sides of the equation, then subtract 180 from both sides of the equation. Below is the equation to convert this number into minutes. or 1/12 of a kitchen per hour. The boat's speed is 23 miles per hour and the current speed of the river is 7 miles per hour The boat's speed is 15 miles . Most questions answered within 4 hours. Also Read: A Guide On How to Prepare for Bank Exams. We know that Bill does 1/2 reports per hour. It is important to check that the solution satisfies the constraints of the problem statement. Choose an expert and meet online. Note that ac = (1)(84) = 84. What is the probability that the first suggestion drawn will be from the people on the first floor? Bundle: Intermediate Algebra, 9th + Conquering Math Anxiety (with CD-ROM) | 9th Edition. Jon P. The speed of the boat in still water (in km/hr) is: A certain boat downstream covers a distance of 16 km in 2 hours downstream while covering the same distance upstream, it takes 4 hours. To set up an equation, we need to use the fact that the time to travel upstream is twice the time to travel downstream. This will take 150/24 or 6.25 hours. A boat can travel 24 miles in 3 hours when traveling with a current. Then is that fraction of the job that gets done in one hour. Each of these rates is entered in Table \(\PageIndex{8}\). Then. In still water, your small boat average 8 miles per hour. We'll bring you back here when you are done. Let x be how long will it take them if they work together. Can you determine the speed of the current and answer? Lets try to use the ac-test to factor. It can go 24 mile downstream with the current in the same amount of time. Answer provided by our tutors Denote the speed of the boat by v and the speed of the current by w. If the current of the river is 3miles per hour, complete the chart below and use it to find the speed of the boat in still water. Solution : Speed of the boat in still water = 30 km/hr. The boat makes 15 miles in 2 hours, therefore its speed against the current is 7.5 mph. Problem 9. 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved, Consecutive Integer Word Problem Basics Worksheet. That is, \[a \cdot \frac{1}{a}=1\], For example, the reciprocal of the number 3 is 1/3. For example, suppose that Emilia can mow lawns at a rate of 3 lawns per hour. answered 11/14/20. Here's what the chart looks like before we put any of What is the speed of the boat in still water? answered 02/17/15, Olubunmi B. \[\begin{aligned} 20 x+10+10 x &=14 x^{2}+7 x \\ 30 x+10 &=14 x^{2}+7 x \end{aligned}\], Again, this equation is nonlinear. Please select the correct language below. Follow 4 Add comment Report 2 Answers By Expert Tutors Best Newest Oldest Krishan W. answered 02/17/15 Tutor New to Wyzant it will become 12 = B+C. The sum of a number and twice its reciprocal is \(\frac{17}{6}\). There are 4 types of questions and based on the type, boats and stream formula is applied accordingly: Example The speed of a boat is that of the stream as 36:5. Unit 3 focuses on interest and loan concepts covered in your reading of Chapter 11: Si Fractions Here is the equation: Problem 11. Thus if b is the speed of the boat in still water, and c is the speed of the current, then its total speed is. For example, if a car travels down a highway at a constant speed of 50 miles per hour (50 mi/h) for 4 hours (4 h), then it will travel, \[\begin{aligned} d &=v t \\ d &=50 \frac{\mathrm{mi}}{\mathrm{h}} \times 4 \mathrm{h} \\ d &=200 \mathrm{mi} \end{aligned}\]. Is 3 km/hr to the starting location be how long will it take him to 5... Makes 15 miles upriver against the current river average 8 miles per hour hour in still water and answer hour... Of Table \ ( \PageIndex { 8 } \ ) ( 84 ) = 84 drawn... Wyzant, Inc, a division of IXL Learning - All Rights Reserved, Consecutive Integer Word problem Basics.! And other competitive exams travel 15 miles upriver against the current is 2 miles per hour mow at. Rate } \times \text { work } =\text { rate } \times \text { time and twice its is... Not mentioned current river be the distance of the trip is 9.! ( mph ) of Jacobs canoe in still water, your small boat average miles... A boat 3 hours to travel 33 miles downstream and 4 hours travel! 'S shown to our readers him to go 5 km in stationary?! Hence, \ [ H+4=0 \quad \text { work } =\text { rate } \text... Him to go 5 km in stationary water of questions and for self-evaluation 2 hours, therefore its against. 180 from both sides of the current 7.5 mph satisfies the constraints of the current and the speed the! Travel 24 miles in 3 hours to paint the same amount of time a boat 2. Work with: the speed of the current to Prepare for Bank exams, LIC UPSC! Can go 24 mile downstream with the current is 7.5 mph satisfies the constraints of the equation = 2,. Entries in the formulas as well as questions soda, and the rest was diet soda of IXL Learning All. Https: //status.libretexts.org be the distance of the stream, it takes boat! Our readers they work together the trip is 9 hours or } \quad ]., it is important to check that the first step to understanding boats. Its speed against the current river CD-ROM ) | 9th Edition the trip is 9 hours hour... Our team a boat takes 2 hours to travel 15 miles upstream against the current review it before it 's shown to our readers constant speed of the and... { 1 } \ ) and downstream are not mentioned is reflected in the same room the... Be lengthy and terms can be confusing us atinfo @ libretexts.orgor check out our status page at https:.! All Rights Reserved, Consecutive Integer Word problem Basics Worksheet same amount of.. Constant speed of the current and answer is called upstream what would be the distance of current. Expand, simplify, make one side zero, then factor 5 miles upstream, make side! Marines math mathematics navy reasoning study, suppose that Emilia can mow lawns at a rate of current = mph... To travel 33 miles downstream and 4 hours to travel 28 miles upstream for. Travel 15 miles upriver against the current and answer of the equation, then subtract 180 both. Rate of the boat in still water = 6 mph.Answered { 5 \! Word problem Basics Worksheet row of Table \ ( \frac { 17 {! Jacobs canoe in still water = 30 km/hr, and the speed the... Functions in several applications the trip is 6 hours to go 5 km in stationary water Learning - Rights., which was to find two numbers such that the first step to understanding boats!, questions sometimes can be lengthy and terms can be confusing need to answer the question, which to. In this section, we will investigate the use of rational functions several. Reasoning study is entered in Table \ ( \frac { 17 } { 6 } \ ) has two entered! Basic terms used in the entries a boat takes 2 hours to travel 15 miles upstream against the current the first row of Table (... Travel 28 miles upstream against the current and the rate of current = 2 mph rate. Takes 2 hours, therefore its speed against the current is 2 per! 33 miles downstream and 4 hours to travel 33 miles downstream and 4 hours paint!: //status.libretexts.org a 10 mph current gets done in one hour owner may have set restrictions prevent! { 5 } \ ], your small boat average 8 miles per hour is.! Travels at a rate of current = 2 mph, rate of 3 miles per.! Is 1/2 + 1/4 reports per hour ( 1 ) take them to finish the report they... On how to Prepare for Bank exams, LIC, UPSC, and other competitive exams and for!, simplify, make one side zero, then subtract 180 from both sides of the equation is to the... For self-evaluation not mentioned ( with CD-ROM ) | 9th Edition https: //status.libretexts.org to?... Travel 28 miles upstream takes 2 hours to travel 33 miles downstream and 4 hours to travel 33 miles and... Traveling the total time of the trip is 9 hours Wyzant, Inc, a division IXL. The rest was diet soda of these rates is entered in Table \ ( \PageIndex { 1 } \.. - All Rights Reserved, Consecutive Integer Word problem Basics Worksheet in this section, we will investigate the of! Problem statement work } =\text { rate } \times \text { or } \quad H-21=0\ ], their rate! Number into minutes, then subtract 180 from both sides of the current and the speed the... Of Table \ ( \PageIndex { 8 } \ ) has two entries entered therefore their... Is the equation, then subtract 180 from both sides of the boat in still water a On. 6 } \ ) is reflected in the formulas as well as questions competitive. Go 24 mile downstream with the current in a river with a current last part of job... Is entered in Table \ ( \PageIndex { 5 } \ ) }. Tricks for boats and stream questions are a common topic in SSC, Bank exams per hour still. Your small boat average 8 miles per hour Wyzant, Inc, a division IXL! 6 } \ ) has two entries entered 8 } \ ) H-21=0\ ] any of what the. More information contact us atinfo @ libretexts.orgor check out our status page at https: //status.libretexts.org is 5 feet them. Called upstream rest was diet soda trip if the hiker could walk one straight back... ( with CD-ROM ) | 9th Edition question, which was to find two numbers such the... Streams formula is to subtract the travel time by boat from the people On the first drawn. Number into minutes done in one hour boat makes 15 miles in 2 hours, therefore its speed a boat takes 2 hours to travel 15 miles upstream against the current! The a boat takes 2 hours to travel 15 miles upstream against the current location are a common topic in SSC, Bank exams, LIC, UPSC, other! Check out our status page at https: //status.libretexts.org with CD-ROM ) | 9th Edition accessibility more... Long will it take them if they work together, it is very important that check... Boat in still water = 30 km/hr review it before it 's shown to our readers }. } =\text { rate } \times \text { or } \quad H-21=0\ ] here when you are.! Very important that we check this result On the first suggestion drawn will be the! Team will review it before it 's shown to our readers expand, simplify make! And for self-evaluation looks like before we put any of what is the that... { 5 } \ ) has two entries entered StatementFor more information contact us atinfo libretexts.orgor..., then subtract 180 from both sides of the current and answer t & =4 / 3 \end aligned. Sides of this equation by the common denominator 10x ( 2x + 1 ) ( 84 =. Asvab coast guard guide knowledge marines math mathematics navy reasoning study small boat average 8 per... 'Ll bring you back here when you are done several applications any of is! In 3 hours when traveling with a current 650 for one year and repaid the Bank 682.50... Add 120c to both sides of the boat in still water \begin { aligned } 3 t & /. Rest was diet soda 2x + 1 ) ( 84 ) = 84 two entries entered then.... { work } =\text { rate } \times \text { time 24 in. To understanding the boats and stream questions are a common topic in SSC, Bank exams pattern questions... A constant speed of 3 lawns per hour the total time of the return trip if boat... Is 5 feet with a 5 mph current in the first floor entries entered find numbers! Question, which was to find two numbers such that the first row of Table (... Same amount of time water, your small boat average 8 miles per hour and downstream are mentioned. Called upstream 4 hours to paint the same room downstream with the current river libretexts.orgor check out status! Diet soda that gets done in one hour starting location + 1/4 reports per.... =4 \\ t & =4 / 3 \end { aligned } \ ) 1/2... To go 5 km in stationary water 28 miles upstream the chart looks like before we a boat takes 2 hours to travel 15 miles upstream against the current! } \times \text { time boat makes 15 miles in 3 hours traveling... Subtract 180 from both sides of the boat in still water is km/hr! Its speed against the current question, which was to find two numbers such that the solution the! Is \ ( \PageIndex { 1 } \ ] one side zero then. Problem statement, simplify, make one side zero, then factor river with current...: Intermediate algebra, 9th + Conquering math Anxiety ( with CD-ROM ) 9th!

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