Question

A Train T1 starts from Ranchi to Patna at 8 am and reaches at 12 noon. A second train T2 starts at 8 am from Patna reaches Ranchi at 1 pm. When did the two train cross each other?

1. 10:13 am
2. 9:43 am
3. 9:47 am
4.

10:17 am

Answer 1

Correct Answer - Option 1 : 10:13 am

Time taken by train T1 to complete its journey = 4 hours

Time taken by train T2 to complete its journey = 5 hours

Ratio of speeds of trains T1 and T2 = (Time taken by train T2)/(Time taken by train T1) = 5/4

Ratio of distances travelled by trains T1 and T2 = 5/4

Time taken by trains T1 and T2 to cross each other = (5/9) × 4 = 20/9 = 2 hours 13 minutes

Thus, both the trains T1 and T2 will cross each other at 10:13 am.