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

• A. 21
• B. 22
• C. 20
• D. 19

Answer 1

Answer: (B)

22

Answer 2

Let 3t represent the total journey time taken by Amal.
Consequently, the total distance covered by Amal is 60t kilometers (sum of distances for each mode: 10t+20t+30t = 60t kms.
Bimal allocates 1/31/3 of the total distance to each mode of transport.
Therefore, Bimal's total travel time is calculated as 20t/10+20t/20+20t/30=11t/3 hours.
The percentage by which Bimal's travel time exceeds Amal's travel time can be expressed as ((11/3)t−3t/3t)×100=22.22 %