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the new rectangle.A steamer travels 90 km downstream in the same time as it takes to travelupstream. If the speed of the stream is 5 km/h, find the speed of the steamer60 kstillwaters the distance between two ports in 5 ho

Answer»

Let x be the speed of the steamer in still water

Speed of the stream = 5km/h (Given)

Downstream:

Speed = (x + 5)

Time = Distance ÷speed

Time = 90 /( x + 5)

Upstream:

Speed = ( x - 5)

Time = Distance ÷Speed

Time = 60/( x - 5)

Since the time taken for upstream and downstream is the same:

90 /( x + 5) = 60/( x - 5)

90 (x - 5) = 60 (x + 5)

90x - 450 = 60x + 300

30x = 750

x = 25 km/h

Answer: The speed of the steamer in still water is 25km/h



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