With an average speed of 60 km h a train reaches its destination on time If it goes with an average ...........

Quantitative Aptitude (CHSL) Time & distance

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 _____.

This questions was previously asked in

SSC CHSL 3rd June 2022 Shift-2

40 km

30 km

60 km

50 km

To solve this problem, we can use the formula: distance = speed × time.

- When the train travels at 60 km/h, it reaches on time. Let's denote the on-time travel duration as T hours. So, the distance is 60 × T.

- At 45 km/h, the train is 20 minutes late. This means the travel time becomes (T + 1/3) hours because 20 minutes is 1/3 of an hour.

- Distance remains the same. Thus, 45 × (T + 1/3) = 60 × T.

- Solving, 45T + 15 = 60T.

- Rearranging gives 15 = 15T, so T = 1 hour.

- The distance is 60 km/h × 1 hour = 60 km.

- Option 3: 60 km

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