CAT 2018 Question Paper Shift 2 Solved Paper

Question : 98 of 100

Marks: +1, -0

On a long stretch of east-west road, A and B are two points such that B is 350 km west of A.One car starts from A and another from B at the same time. If they move towards each other,then they meet after 1 hour. If they both move towards east, then they meet in 7 hrs. Thedifference between their speeds, in km per hour, is

Your Answer:

Validate

Solution:

Let 'x' and 'y' be the speed (in

{km} {/} {hr}

) of cars starting from both

{A}

and

{B}

respectively. If they both move in east direction, then

{B}

will overtake

{A}

only if

{y}> {x}

Also, relative speed of both the cars when they move in east direction

=( {y}- {x}) {km} {/} {hr}

It is mentioned that they take 7 hours to meet. i.e. they travel

350 {km}

in 7 hours with a relative speed of

( {y}- {x}) {km} {/} {hr}

Hence,

( {y}- {x})=350 {/} 7=50 {km}{/} {hr}

Go to Question:

Prev Question

Next Question