# word problem

A motor boat took 4 hours to make a downstream trip with a current of 3mph. The return trip against the same current took 8 hours. Find the speed of the boat in still water.

Call Y the boat's rate.
distance = rate x time.
downstream rate of boat is Y+3. t=4 hrs.
upstream rate of boat is Y - 3. t=8 hrs.
d(downstream) = (Y+3)4
d(upstream) = (Y-3)8
The distance is the same so set them equal to each other and solve for Y.

Thank you

1. 👍 0
2. 👎 0
3. 👁 311
1. 9mph

1. 👍 0
2. 👎 0
posted by paulo
2. A cruise boat travels 96 miles downstream in 3 hours and returns upstream in 6 hours. Find the rate of the stream.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### algebra

HOW DO SOLVE A BOAT TRAVELED 336 MILES DOWNSTREAM AND BACK. THE TRIP DOWNSTREAM TOOK 12 HOURS. THE TRIP BACK TOOK 14 HOURS. WHAT IS THE SPEED OF THE BOAT IN STILL WATER? WHAT IS THE SPEE OF THE CURRENT

asked by JAMES' on November 8, 2010
2. ### Algebra 2

5.) A boat makes a trip downstream in 5 hours. The return trip against the current takes 12 hours. If the speed of the current is 3 1/2 km/h, what is the speed of the boat in still water? 6.) How far does the boat referred to in

asked by Alex on August 31, 2014
3. ### Algebra

5.) A boat makes a trip downstream in 5 hours. The return trip against the current takes 12 hours. If the speed of the current is 3 1/2 km/h, what is the speed of the boat in still water? 6.) How far does the boat referred to in

asked by Lily on August 31, 2014
4. ### Algebra

A boat traveled 180 miles downstream and back. The trip downstream took 10 hours. The trip back took 30 hours. Find the speed of the boat in still water and the speed of the current. Solve each system using any method

asked by Kevin on February 26, 2017
5. ### Algebra

a boat is taking a cruise to a remote island 800 miles away. The trip downstream with current is 8 mile per hour. the return trip upstream against current is 10 hours. find the speed of the boat in still water and speed of current

asked by Nicholas on January 31, 2018
6. ### math

A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip back took 70 hours. What is the speed of the boat in still water. What is the speed of the current?

asked by Ryan on December 15, 2014
7. ### Algebra

What system of equations do I use to solve the following question? A boat traveled 336 miles downstream and back. THe trip downstream took 12 hours. THe trio back took 13 hours. What is the speed of the boat in still water What is

asked by Tom on January 31, 2011
8. ### Math

A boat travels 12 miles up a river, then returns to where it started. The trip upriver took one hour longer than the return trip. If the current is 3mph, find the speed of the boat

asked by Tonya on November 20, 2012
9. ### algebra 1

a bout travels 280 miles downstream and back. The trip downstream took seven hours. The trip back took 14 hours. The speed of the boat in still water and the speed of the current

asked by Natalie on January 13, 2016
10. ### MATH

1. A boat traveled 210 miles downstream and back. The trip downstream took 10 hours, the trip back took 70 hours. What is the speed of the boat in still water? What is the speed of the current? 2. Flying to Kampala with a tailwind

asked by Kian on August 27, 2012

More Similar Questions