Question

A train A starts from Raipur at 4 p.m. and reaches Bhilai at 5 p.m. while another train B starts from Bhilai at 4 p.m. and reaches Raipur at 5:30 p.m. The two trains will come across each other at what time?

1. 4:36 P.M.
2. 4 :10 PM
3. 4:30 PM
4. 4:55 PM
5. None of the above

Answer 1

Correct Answer - Option 1 : 4:36 P.M.

Calculations:

Let the distance between Raipur and Bhilai be x km.

Time taken by A to cover x km = 1h

Time taken by B to cover x km = 3/2 h

∴ Speed of A = x km/h

∴ Speed of B = 2x/3 km/h

Let them meet y hours after 4 p.m. Then,

⇒ xy + 2xy/3 = x

⇒ y (1 + 2/3) = 1

⇒ y = 3/5 hours

⇒ 3/5 × 60

⇒ 36 minutes

So, the two trains meet at 4:36 p.m.