SOLUTION: A group of tourists went downstream a river and are supposed to return in 3 hours. How far can the tourists travel down the river if the speed of the current is 2 mph, and the spee
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Question 913460: A group of tourists went downstream a river and are supposed to return in 3 hours. How far can the tourists travel down the river if the speed of the current is 2 mph, and the speed of the boat in still water is 18 mph?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
r*t=d
IF three hours is the total time then u+d=3
20u=16d
5u=4d
u+d=3
u=3-d
5*(3-d)=4d
15-5d=4d
15=9d
5=3d
5/3=d 1 2/3
u=9/3-5/3=4/3 1 1/3
20*4/3=80/3=33 1/3 miles upstream in 1:20
16*5/3=80/3=33 1/3 miles downstream in 1:40
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