Amitabh Dharmendra and Jitendra start from the same place and travel in the same direction at the sp...........

Quant (SSC) Time & distance

Amitabh, Dharmendra and Jitendra start from the same place and travel in the same direction at the speed of 20 km/hr, 30 km/hr and 40 km/hr respectively. Dharmendra starts two hours after Amitabh. If Dharmendra and Jitendra overtake Amitabh at the same moment, how many hours after Amitabh did Jitendra start?

3 hrs

6 hrs

5.5 hrs

4 hrs

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Explanation:

Distance covered by Amitabh in 2 hours = 2 × 20 = 40 km
Time taken by Dharmendra to overtake Amitabh = 40/ 30 - 20 = 4 hrs
This implies Amitabh had started 6 hrs before he was overtaken.
Distance covered by Dharmendra in this 4 hours = 30 × 4 = 120 km
Time take by Jitendra to cover = 120 /40 = 3 hrs
It means Jitendra starts (6 – 3) = 3 hours after Amitabh.