Train A leaves station M at 6.00 a.m. and reaches station N at 2.00 p.m. on the same day. Train B leaves station N at 8.00 a.m. and reaches station M at 3.00 p.m. on the same day. Find the time when Trains A and B meet.

Question

Question

This question was previously asked in

RRB Group D 6 Oct 2022 Shift 1 Official Paper

Answer 1

Calculations:

Let the distance between two station be x km

Since, The first train that travels from M to N covers the distance x in 8 hour

⇒ The speed of first train is x/8 km/hour

Since, the second train that travels from N to M covers the distance x in 7 hour

⇒ The speed of second train is x/7 km/hour

Now, in 2 hour the distance travelled by first train is 2x/8

⇒ The remaining distance is 6x/8

Now, let they start at 8:00 AM and they will meet after T hours with each other

⇒ (x/8) × T + (x/7) × T = 6X/8

⇒ T/8 + T/7 = 3/4

⇒ T = 2 hours 48 minutes

∴ The time at which they will meet = 8 : 00 AM + 2 hour 48 minutes = 10 : 48 AM.