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 for 1/3 rd 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 toa) 22b) 20c) 19d) 21Correct answer is option 'A'. Can you explain this answer?

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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 for 1/3 rd 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

a)
22
b)
20
c)
19
d)
21

Correct answer is option 'A'. Can you explain this answer?

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One can use three different transports which move at 10,20, and 30 km...

Assume the total distance between A and B as d and time taken by Amal = t

Since Amal travelled 1/3rd of his total journey time in different speeds

d = t/3 x 10 + t/3 x 20 + t/3X 30 = 20t

Total time taken by Bimal = d₁/s₁ + d₂/s₂ + d₃/s₃

= 20t/3 x 1/10 + 20t/3 x 1/20 + 20t/3 x 1/30 = 20t(6+3+2)/3x30 = 11/9t

Hence, the ratio of time taken by Bimal to time taken by Amal =11t/(9/t)= 9

Therefore, Bimal will exceed Amal's time by (11t/9 – t)/tx 100 = 22.22

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