CAT 2020 Exam Shift 1 Solved Paper

Question : 65 of 76

Marks: +1, -0

Q.65. Leaving home at the same time, Amal reaches office at 10: 15 am if he travels at 8

{km} {/} {hr}

, and at

9: 40

am if he travels at

15 {km} {/} {hr}

. Leaving home at

9: 10 {am}

, at what speed, in

{km} \/ {hr}

, must he travel so as to reach office exactly at

10 {am}

Solution:

Let the speed in the first two cases be s and the distance be "d'. Given,

\;{d}/{8}-\;{d}/{15}=\;{35}/{60} ⇒ d=10 {km}

Required speed

=\;{10}/{{50}/{60}}=12 {kmph}

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