CAT 2018 Question Paper Shift 1 Solved Paper

Question : 84 of 100

Marks: +1, -0

Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 startsfrom A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then thetime, in minutes, taken by car 1 in reaching P from A is

Your Answer:

Validate

Solution:

Let the time taken for car 1 to reach

{P}

from

{A}

{x}

hours.
Speed of car

1= {AP} {/} {x}

Given

{BP}=3 {AP}

Car 2 starts from

{B}

{A}

and reaches

{P}

one hour after car 1 reaches

{P}

.
Speed of car

2=\;{3 {AP}}/{ {x}+1}

Therefore,

\;{3 {AP}}/{ {x}+1}=\;{1}/{2}(\;{ {AP}}/{ {x}})

x=\;{1}/{5}

. Time taken for car 1 to reach

P

from

A

is 12 min.

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