The Second train will catch up with the first train after 15 hours which is 8a.m the following morning.
First train :
Departure time = 2 pm
Speed = 50 mph
Second train :
Departure time = 2 pm + 3 hours = 5 pm
Speed = 60 mph
Distance = speed × time
Distance already covered by first train before the departure of the second = 50 mph × 3 hpird = 150 miles
The number of hours needed for second train to catch up will be h;
(60 × h) = (50 × h) + 150
60h = 50h + 150
60h - 50h = 150
10h = 150
h = 150/ 10
h = 15
Second train will catch up after 15 hours :
Hence, time will be : (5pm + 15 hours) = 8 a.m the following morning.
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