If a train run at 40 km/hr it reaches its destination late by 11 min but if it run at 50 km/hr it is late by 5 min only. The correct time for the train to cover at journey is?

13 min.
15 min.
21 min.
19 min.

Correct Answer: 19 min.

Explanation:

Let the required time = T min.
Then, distance covered in T + 11 min at 40 km/hr = distance covered in T + 5 min at 50 km/hr.
⇒ 40 ( T + 11 ) / 60 = 50 (T + 5 ) / 60
∴ T = 19 min.

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