Question

If a train runs at 40 km/h it reaches its destination late by 11 minutes . But if it runs at 50 km/h it is late by 5 minutes only. Find the distance to be covered by the train.

Answer 1

Let the distance to be reached = x km say. 

Time taken to travel ‘x’ km with speed x 40 km/hr = \(\frac x{40}\)hr. 

Time taken to travel ‘x’ km with speed 50 km/hr = \(\frac x{50}\) hr.

According to the sum the difference between the times

∴ The required distance to be travelled by a train = 20 kms‘.