Correct Answer - Option 4 : 54 min
Given:
A is twice as fast as B,
B is thrice as fast as C.
A covered journey in 9 minutes
Formula Used:
Speed = Distance/Time
Calculation:
According to the question,
⇒ A = 2B and B = 3C
Let speed of C be 1 unit per min.
Speed of B will be,
⇒ 3 × 1 unit per min.
⇒ 3 units per min.
Speed of A will be,
⇒ 2 × 3 units per min.
⇒ 6 units per min.
A required 9 minutes to cover the distance,
⇒ Distance = 6 × 9 = 54 units.
C will cover 54 units in,
⇒ 54/1
⇒ 54 minutes.
∴ C will take 54 min. to cover the distance.