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In: Physics

Two boat landings are 5.5 km apart on the same bank of a stream that flows...

Two boat landings are 5.5 km apart on the same bank of a stream that flows at 8 km / hr. A motorboat makes the round trip between the two landings in 2.3 hr. What is the speed of the boat relative to the water? Answer in units of km / hr.

Solutions

Expert Solution


speed of the boat in still water is v

speed of the boat in flowing water is V


given that speed of the stream is 8 km/hr

during round trip

speed of the boat in the direction of stream is v+ 8


speed of the boat in the opposite direction of the stream is v-8

total time taken is T = t1+ t2 = time taken up + time taken taken dowm

T = 8/(v+8) + 8/(v-8) = 2.3

solving we get v = 12.2 km / hr and v = - 5.24 km/hr


since already signs are considered,then v = 12.2 km/hr

genius_generous answered 2 years ago
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