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Question: Answered & Verified by Expert
A motorboat covers a given distance in 6h moving downstream of a river. It covers the same distance in 10h moving upstream. The time (in hour) it takes to cover the same distance in still water is
PhysicsMotion In One DimensionNEET
Options:
  • A 6
  • B 7.5
  • C 10
  • D 15
Solution:
1035 Upvotes Verified Answer
The correct answer is: 7.5
Let vw be velocity of water and vb be the velocity of motor boat in still water. If x is the distance covered, then as per question

x=vb+vw×6=(vb-vw)×10

On solving, v w = v b / 4

∴    x = v b + v b / 4 × 6 = 7.5 v b

Time taken by motor boat to cross the same distance in still water is

  t= x v b 7.5 v b v b =7.5h

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