Multiple choice

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

  1. 22

  2. 20

  3. 19

  4. 21

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A Correct answer
AI explanation

Assuming the total journey time for Amal is 3t hours, he spends t hours on each mode of transport, meaning he covers a total distance of (10*t) + (20*t) + (30*t) = 60t kilometers. Bimal covers this same distance of 60t kilometers, spending exactly one-third of the distance on each mode of transport. Bimal's total travel time is (20t/10) + (20t/20) + (20t/30), which equals 2t + t + 0.67t = 3.67t hours. Bimal's travel time of 3.67t hours exceeds Amal's travel time of 3t hours by 0.67t hours, representing an increase of (0.67t / 3t) * 100, which is approximately 22 percent. Bimal's travel time exceeds Amal's travel time by about 22 percent.