Question

In: Physics

Two boat landings are 4.8 km apart on the same bank of a stream that flows...

Two boat landings are 4.8 km apart on the same bank of a stream that flows at 4.6 km/hr. A motorboat makes the round trip between the two landings in 2.5 hr. What is the speed of the boat relative to the water? answer in units km/h

Solutions

Expert Solution

Let the speed of boat be v.

time taken = 4.8/[v+4.6] + 4.8/[v-4.6]

2.5 =4.8/[v+4.6] + 4.8/[v-4.6]

2.5 = 2v*4.8/[v^2 - 4.6^2]

v^2 - 4.6^2 = 3.84v

v = 6.9 km/h answer

  


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