Question

A train covers a distance between station a and station b in 45 minutes .If the speed of the train is reduced by 5 km/hr,then the same distance is covered in 48 minutes .What is the distance between the stations a and b? (capgemini)

Answer 1

60 km is the answer.

Answer 2

Answer:

Given :-

• A train covers a distance between station a and station b in 45 minutes. If the speed of the train is reduced by 5 km/hr, then the same distance is covered in 48 minutes.

Find out :-

• The distance between the stations a and b.

Solution :-

Let, the distance between a and b be x km.

We know that,

★ Speed = Distance/Time ★

ATP,

★ x/(45/60) km/hr

➞ 60x/45 km/hr

➞ 4x/3 km/hr

The speed of the train is reduced by 5 km/hr.

New speed,

★ (4x/3) - 5

➞ (4x - 15)/3 km/hr

New time,

★ 45 minutes + 3 minutes

➞ 48 minutes

ATP,

★ 48/60 × (4x - 15)/3 = x

➙ 16 (4x - 15) = 60x

➙ 4(4x - 15) = 15x

➙ 16x - 60 = 15x

➙ 16x - 15x = 60

➙ x = 60

∴ The distance between the stations a and b 60 km.