SOLUTION: Robert has a jet ski that will travel at the rate of 35 mph in still water. He can go 50 mph up a river in the same amount of time it takes im to go 75 mph down the river. How fast

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Robert has a jet ski that will travel at the rate of 35 mph in still water. He can go 50 mph up a river in the same amount of time it takes im to go 75 mph down the river. How fast      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 349630: Robert has a jet ski that will travel at the rate of 35 mph in still water. He can go 50 mph up a river in the same amount of time it takes im to go 75 mph down the river. How fast can Robert travel going down the river?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Note: d= r*t t= d/r
.
time is the same up and down the river
50mi%2F%2835+-c%29+=+75mi%2F%2835%2Bc%29
.
Cross multiply to solve
75*(35 -c) = 50*(35+c)
.
divide both sides of the equation by 25
3(35-c) = 2*(35+c)
105 - 3c = 70 +2c
35 = 5c
c = 7(mi/hr)
.
Speed going down the river is 35(mi/hr) + 7(mi/hr)= 42(mi/hr)
.
check your answer
50/28 = 75/42