Question:
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
- 21
- 22
- 20
- 19
Correct Answer: Option: 2
Let the total journey time taken by Amal be 3t hours.
Therefore, the total distance = 10t + 20t + 30t = 60t kms
Bimal took each mode of transport 1/3 of the total distance.
Therefore, total time taken by him = $\frac{20t}{10}+\frac{20t}{20}+\frac{20t}{30}=\frac{11t}{3}\ hours$
The percentage by which Bimal’s travel time exceeds Amal’s travel time $\left( \frac{\left( 11/3 \right)t-3t}{3t} \right)\times 100=22.22%$
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