A motorboat traveled 35 km upstream on a river and then up an adjacent stream for 18 km, spending 8 hours on the entire trip.

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A motorboat traveled 35 km upstream on a river and then up an adjacent stream for 18 km, spending 8 hours on the entire trip. The speed of the rivers current was 1 km/hour slower.

A motorboat traveled 35 km upstream on a river and then up an adjacent stream for 18 km, spending 8 hours on the entire trip. The speed of the rivers current was 1 km/hour slower than the speed of the streams current. Find the speed of the current of the river, if the speed of the motorboat in still water is 10 km/hour.

Answer – 3km/hr

Explanation

Let x =speed of river

Then, Speed of stream = (x+1)

10 – x = speed of motorboat upstream on the river

10 – (x+1) = (9-x) = speed of motorboat upstream on adjacent stream

Time = distance/speed

Formula

35/(10-x) + 18/(9-x) = 8

x = 3km/hr


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