7. A steamer travels 90 km downstream in the same time as it takes to travel 60 km upstream. If the speed of the stream is 5 km/h, find the speed of the steamer in still water.
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Let the speed of the streamer = x km/h
➜The speed downstream =(x+5)km/h and
➜The speed upstream =(x−5)km/h
According to the given problem ,
➜ x+5 / 90 = x−5 / 60
On cross multiplication ,
we get ,
➜ 90(x−5)=60(x+5)
➜ 90x−450=60x+300
➜ 90x−60x=300+450
We get,
➜ 30x = 750
➜ x = 30 / 750
➜ x=25
Therefore , the speed of the streamer in still water is 25km/h
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