SOLUTION: the excursion boat Holiday travels 35km upstream and then back again in 4h 48 min. If the speed of the Holiday in still water is 15 km/h, what is the speed of the current?

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Question 26767: the excursion boat Holiday travels 35km upstream and then back again in 4h 48 min. If the speed of the Holiday in still water is 15 km/h, what is the speed of the current?
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
4 h and 48 minutes = 4.8hours
35%2F%28x%2B15%29%2B35%2F%2815-x%29=4.8
35[(x+15)+(15-x)=4.8[{x+15)(15-x)]
35%2830%29=4.8%28-x%5E2%2B225%29
1050=-4.8x%5E2%2B1080
4.8x%5E2=30
x%5E2=6.25
x=2.5


Hence, the speed of the current is 2.5km/h.
Paul.