# math

posted by .

The speed of a stream is 6 mph. If a boat travels 52 miles downstream in the same time that it takes to travel 26 miles upstream, what is the speed of the boat in still water?

• math -

let the speed of the boat in still water be x mph
using Distance = rate x time or Time = distance/rate
upstream:
time = 26/(x-6)
downstream:
time = 52/(x+6)

26/(x-6) = 52/(x+6)
cross-multiply
52x - 312 = 26x + 156
26x = 468
x = 18

boat's speed is 18 mph

## Similar Questions

1. ### Intermediate Algebra Word Problem

A river's current is 4mph. A boat travels 48 miles downstream in the same time it travels 24 miles upstream. Find the speed of the boat. A) What does the variable stand for?
2. ### algebra

36 Upstream, downstream. Juniorâ€™s boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the current?
3. ### Math (urgent) hw due tommorow!

The speed of a stream is 3 km/h. A boat travels 25 km upstream in the same time it takes to travel 35 km downstream. What is the speed of the boat in still water?
4. ### Math

A boat, which moves at 18 mph in still water, travels 14 miles downstream in the same amount of time it takes to travel 10 miles upstream. Find the speed of the current.
5. ### college math

boat travels 160 miles downstream in the same time that it takes to go 96 upstream. the pead of the stream is 6 mph. what is the speed of still water
6. ### Intermediate Algebra

The speed of a boat in still water is 29mph. if the boat travels 140mph downstream in the same time that it takes to travel 92miles upstream, find the speed of the stream.
7. ### Math

How do you set this up? Solve the system using substitution: A boat travels 18 miles downstream in 1.5 hrs. It then takes the boat 3 hrs. to travel upstream the same distance. Find the speed of the boat in still water and the speed
8. ### MATH

A boat on a river travels 16 miles downstream in only 2 hours. It takes the same boat 7 hours to travel 28 miles upstream. What are the speed of the boat and the speed of the current?
9. ### MAth

John can travel 8 miles upstream in the same time it takes him to go 12 miles downstream. His boat goes 15 mph in still water. What is the rate of the current/
10. ### math

The speed of a river current is 4 mph. IF a boat travels 20 miles downstream in the same time that it takes to travel 10 miles upstream, find the speed of the boat in still water.

More Similar Questions