CAT 2019 Shift 1 Paper

Question : 86 of 100

Marks: +1, -0

One can use three different transports which move at 10, 20, and 30 kmph, respectively. To reach from A to B, Amal took each mode of transport 1/3 of his total journey time, while Bimal took each mode of transport 1/3 of the total distance. The percentage by which Bimal’s travel time exceeds Amal’s travel time is nearest to

Validate

Solution:

Let the total journey time taken by Amal be 3 t hours.
Therefore, the total distance

=10 {t}+20 {t}+30 {t}=60 {t} {kms}

Bimal took each mode of transport

1 {/} 3

of the total distance.
Therefore, total time taken by him

=\;{20 t}/{10}+\;{20 t}/{20}+\;{20 t}/{30}=\;{11 t}/{3}

hours
The percentage by which Bimal's travel time exceeds Amal's travel time

(\;{(11 {/} 3) t-3 t}/{3 t}) × 100=22.22 \%

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