SOLUTION: Liam is planning a three hour trip down the East River and back to his starting point. He knows that he can paddle in still water at 3 mi/h and that the rate of the current is 2 mi
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Question 823676: Liam is planning a three hour trip down the East River and back to his starting point. He knows that he can paddle in still water at 3 mi/h and that the rate of the current is 2 mi/h. How much time can he spend going downstream? How far downstream can he travel?
Found 2 solutions by mananth, richwmiller:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let the distance distance downstream be x
upstream speed = 3-1=2 mph
downstream speed = 3+2 = 5 mph
time downstream + time upstream = 3
x/2 +x/5 =3
multiply by 10
5x+2x=30
7x=30
x= 30/7 = 4.3 miles
time down stream = 4.3/5
=0.86 hours
or 52 minutes
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
a+b=3,
(3+2)*a=(3-2)b
5a=b
6a=3
a=.5 hours downstream with the current
b=2.5 hours upstream against the current
2.5 miles
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