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An express train travelled at an average speed of 90 km/hr and stopping for 5 mins after every 60 km. A local train travelled at a speed of 35 km/hr and stopping for 2 mins after every 15 km. If both trains start together; how many kilometres did the Local train travel in the time in which express train travelled 549 km?

An express train travelled at an average speed of 90 km/hr and stopping for 5 mins after every 60 km. A local train travelled at a speed of 35 km/hr and stopping for 2 mins after every 15 km. If both trains start together; how many kilometres did the Local train travel in the time in which express train travelled 549 km? Correct Answer 225 km

Given:

An express train travelled at an average speed of 90 km/hr and stopping for 5 mins after every 60 km. A local train travelled at a speed of 35 km/hr and stopping for 2 mins after every 15 km.

Concept:

Relative speed

Calculations:

The express train travels 60 km in 40 minutes without a break

Local train travel 15 km in 180/7 minutes without a break

Break of express and the local train is 5 minutes and 2 minutes

The express train travels 60 km in 45 minutes with a break

Local train travel 15 km in 194/7 minutes with a break

The express train travels 540 km in 405 minutes

Next 9 km in 5 + 6 min ⇒ total time = 416 minutes

In 388 minutes local train travel 15 × 7 × 2 = 210 km

So in 416 -388 -2 = 26 minutes, it travels 15 × 7 × 26/194 = 15km

⇒ total distance = 210 + 15 = 225

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