Discussion of Question with ID = 095 under Boats-and-Streams

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Question

A steamer boat can travel 64 km downstream in 8 hours. If it covers the same distance upstream in 16 hours, what is the speed of the boat in still water?

A

6 kmph.

B

7 kmph.

C

5 kmph.

D

9 kmph.

Soln.
Ans: a

The downstream speed = $64/8$ = 8 km/h, and the upstream speed = $64/16$ = 4 km/h. By the shortcut method, the speed of the steamer boat in still water is average of its downstream and upstream speeds. So the required speed = ${8 + 4}/2$ = 6 km/h.

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