A steamer goes downstream from one point to another in 7 hours. It covers the same distance upstream in 8 hours. If the speed of the stream is 2 km/hr, find the speed of the steamer in still water.

30 km/hr

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3 km/hr

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40 km/hr

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15 km/hr

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Solution

The correct option is A
30 km/hr

Let speed of steamer in still water = x km/hr
Speed of stream = 2 km/hr
Speed downstream = (x + 2) km/hr
Speed upstream = (x – 2) km/hr
Distance covered in 7 hours (downstream) = 7(x + 2)

Distance covered in 8 hours (upstream) = 8(x - 2)
According to the condition,
7(x+2) = 8(x-2)
7x + 14 = 8x – 16

7x - 8x = -16 - 14
x = 30 km/hr.

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