With an average speed of 60 km/h, a train reaches its destination on time. If it goes with an average speed of 45 km/h, it is late by 20 minutes. The distance covered by the train is _____.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 60 km.
We know that Speed = Distance/time
The ratio of the speed of the train:
⇒ S1 : S2 = 60 : 45
⇒ T1 : T2 = 45x : 60x = 3x : 4x
⇒ (4x - 3x) = 20 min (Given)
x = 20 min = 20/60 = 1/3 hour
So, the distance = Speed × time = S1 × T1
= 60 × 3x = 60 × 3 × (1/3) = 60 km