# algebra/ word problem

posted by .

Justin paddles his kayak 6 miles upstream in 1,5 hours. he turns around and paddles downstream, the same distance, in only 1 hour. What is the rate in still water and what is the rate of the water's current

• algebra/ word problem -

let x - rate in still water
y - rate of current
R * T = D
UPS x-y 1.5 6mi
DOWNS x+y 1 6mi

1.5(x-y)=6 ----- 1.5x-1.5y = 6
-1.5[(x+y)=6] -- -1.5x-1.5y = -9
________________
by elimination -3y = -3
method y = 1mph(current)
x+1=6
x=5mph (still water)

## Similar Questions

1. ### 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 …
2. ### Physics

Two canoeists in identical canoes exert the same effort paddling and hence maintain the same speed relative to the water. One paddles directly upstream (and moves upstream), whereas the other paddles directly downstream. With downstream …
3. ### college-Physics

Two canoeists in identical canoes exert the same effort paddling and hence maintain the same speed relative to the water. One paddles directly upstream (and moves upstream), whereas the other paddles directly downstream. With downstream …
4. ### physics

Two canoeists in identical canoes exert the same effort paddling and hence maintain the same speed relative to the water. One paddles directly upstream (and moves upstream), whereas the other paddles directly downstream. With downstream …
5. ### math

A boat's crew rowed 12 miles downstream, with the current, in 1.5 hours. The return trip upstream, against the current covered the same distance, but took 4 hours. Find the crew's rowing rate in still water and the rate of the current... …
6. ### math

need help. Young salmon hatch in freshwater steams and then migrate downstream to the ocean at the rate of 70 miles in 8 hours. there they live until they reach spawning age. then they return upstream to fresh water to spawn and usually …
7. ### ALGEBRA

Jim paddles a canoe upstream at a rate o 3mi/hr. Traveling downstream, he travels at 8 mi/hr. What is his rate in still water and what is the rate of the current?
8. ### Algebra

A kayaker paddles upstream for 1.5 hours then turns his kayak around and returns to his tent in 1 hour. He travels 3 miles each way. What is the rate of the rivers current?
9. ### Algebra

The current of a river moves at 3 miles per hour. It takes a boat 3 hours to travel 12 miles upstream, against the current, and return the same distance traveling downstream, with the current. What is the boats rate in still water?
10. ### math

a boat travels 10 miles upstream in 4 hours. the boat travels the same distance downstream in 2 hours. Determine the rate of boat in still water and the rate of the current?

More Similar Questions