IBPS SO Prelims Exam Model Paper 5

Assume that they meet x hours after 10 a.m.
Then, train 1, starting from A, travels x hours till the trains meet.
Distance travelled by train 1 in x hours = 75x km
Train 2, starting from B, travels (x − 1) hours till the trains meet.
Distance travelled by train 2 in (x − 1) hours = 60(x − 1) km
Total distance travelled = Distance travelled by train 1 + Distance travelled by train 2
⇒ 300 = 75x + 60(x − 1)
⇒ 5x + 4(x − 1) = 20
⇒ 5x + 4x − 4 = 20
⇒ 9x = 20 + 4
⇒ 9x = 24
⇒ x = 24/9 = 2.67 hours = 2 hours 40 min
Hence, the trains meet at 12:40 p.m.