A train starts running from point A at 8:00 am with a speed of 40 km/hr. It runs for 3 hours and then stops for 1 hour. It continues this till it is caught by another train which starts at 11:00 am from point A and runs non - stop at a speed of 50 km/hr towards the first train. At what time will the first train be caught?

Explanation

Time gap = 3 hr Distance gap between two trains between 8 am and 11 am = 40 × 3 = 120 km Then first train stops for 1 hr so 2nd train runs with 50 km/hr and covers 50 km in 1 hr. Now distance gap between them at 12 am = 120 – 50 = 70 km Now both train continue for next 3 hrs Distance gap = [70 + (40 × 3)] – 50 × 3 = 40 km For next 1 hr 1st train will take rest so ix 2nd train will cover this 40 km to catch 1st train in = 40/50 = 48 min w . Total time taken by 2nd train to cover 1st train = 4 hr 48 min 11 : 00 am + 4 hr 48 min = 3:48 pm