SOLUTION: Chris can row a boat a distance of 20 miles in 2.5 hours when he is rowing with the current. It takes him 3 hours to row the same distance when he is rowing against the current.

Question 585156: Chris can row a boat a distance of 20 miles in 2.5 hours when he is rowing with the current. It takes him 3 hours to row the same distance when he is rowing against the current. What is the rate of the currentd?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Chris can row a boat a distance of 20 miles in 2.5 hours when he is rowing with the current. It takes him 3 hours to row the same distance when he is rowing against the current. What is the rate of the current?
**
let x=speed of boat in still water
let c=speed of current
speed of boat with current x+c
speed of boat against current=x-c
Travel time =distance/speed
..
20/(x-c)=3
20/(x+c)=2.5
..
3x-3c=20
2.5x+2.5c=20
..
7.5x-7.5c=50
7.5x+7.5c=60
15c=10
c=10/15=2/3
..
15x=110
x=110/15=22/3
..
ans: rate of current=2/3 mph

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