A runs thrice as fast as B and B runs 4 times as fast as C. the dista...
Given:
Speed of A = 3 × Speed of B ... (1)
Speed of B = 4 × Speed of C ... (2)
Concept used:
Speed = Distance / time
For constant distance, clearly speed is inversely proportional to time.
Calculation:
Using (1) and (2),
Speed of A = 3 × 4 × Speed of C
Speed of A = 12 × Speed of C.
Speed of A / Speed of C = 12 : 1.
Ratio of time taken will be inverse to the ratio of speeds of A and C as the distance is constant.
Time taken by A / Time taken by C = 1 : 12.
Time taken by A to cover a distance which is covered by C in 96 minutes
Time taken by A = 96 / 12
Time taken by A = 8 minutes.
∴ The time taken by A will be 8 minutes.
Note - In the official answer key, the answer was given as "12'' but in the calculation it was found to be "8". So, the option has been changed.