Question 371972: A fisherman travels downstream at full speed to his favorite fishing spot. The stream is running at a rate of 5 miles per hour, and the trip takes 2 hours to get to the fishing hole. He is surprised, however, to find that the trip takes 6 hours at full speed to get back to the dock when he is finished. How fast will his fishing boat go?
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi,
Let x represent the speed of the fishing boat.
d = r*t distance the same to and from the fishing hole
The stream is running at a rate of 5 miles per hour****
(x+ 5mph)* 2 = (x - 5mph)*6
solving for x
2x + 10mph = 6x - 30mph
40mph = 4x
10mph = x, the speed of the fishing boat.
checking our answer
15mph*hr2 = 5mph*6hr
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