A train which is moving at an average speed of 30 km/h reaches its destination on time. When its average speed reduces to 25 km/h, then it reaches its destination 10 minutes late. The distance travelled by the train, is -

Question: A train which is moving at an average speed of 30 km/h reaches its destination on time. When its average speed reduces to 25 km/h, then it reaches its destination 10 minutes late. The distance travelled by the train, is -

Solution:
Let the distance = x
ATQ,
(x/25) - (x/30) = 10/60
⇒ (6x - 5x)/150 = 1/6
⇒ x/150 = 1/6
⇒ x = 150/6
∴ x = 25

∴ The distance travellede by the train is 25 km