NIMCET 2009 Question Paper with solutions

Question : 60 of 120

Marks: +1, -0

A motorboat going downstream a river passes a raft (freely floating with the river current) at a certain point 'A'. Exactly one hour later it turned back and after some time while coming upstream it passed the same raft at a point

{ }^{'} B^{'}

situated at a distance of

6 {km}

from point '

A^{'}

What is the speed of the water current in the river expressed in

{km} \/ {h}

Validate

Solution:

Let

x

and

y

be speed of water current and motor boat respectively.

C

and

D

are respectively the points where raft and motor boar are located when motor boat turns back.

⇒ {6-x}/{x}= {y+x-6}/{y-x}

⇒

{6}/{x}= {2 y-6}/{y-x}

⇒ x=3

and

y=4

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