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Physics Motion in a Straight Line Mix MCQ (Single Correct)

A motorboat covers the distance between two spots on the river in 8 h and 12 h downstream and upstream respectively. The time required by the boat to cover this distance in still water is

A
6.3 h
B
9.6 h
C
3.2 h
D
18.12 h

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Text Solution

Verified by Experts
The correct answer is:
B

Let u and v be the velocity of boat in still water and velocity of river respectively. If x is the distance between the two spots, then

(for downstream)

(for upstream)

On adding

Time required by boat in still water

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