SOLUTION: Trey's boat travels 24 km/h in still water. He motors 150 km downstream in the same time it takes to go 90 km upstream. What is the speed of the river?

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Question 318786: Trey's boat travels 24 km/h in still water. He motors 150 km downstream in the same time it takes to go 90 km upstream. What is the speed of the river?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
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.
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Let C be the current speed.
1.%2824%2BC%29t=150
2.%2824-C%29t=90
From eq. 1 and eq. 2,
t=150%2F%2824%2BC%29=90%2F%2824-C%29
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150%2824-C%29=90%2824%2BC%29
360-15C=216%2B9C
24C=144
highlight%28C=6%29
The speed of the current is 6 km/h.