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  1. Two trains start from stations A and B and travel towards each other at speed of 50 km/hour and 60 km/hour respectively. At the time of their meeting, the second train has travelled 120 km more than the first. The distance between A and B is :
    1. 990 km
    2. 1200 km
    3. 1320 km
    4. 1440 km
Correct Option: C

Let train A start from station A and B from station B.
Let the trains A and B meet after t hours.
∴  Distance covered by train A in t hours = 50t
Distance covered by train B in t hours = 60t km
According to the question,
60t – 50t = 120

⇒  t =
120
= 12 hours.
10

∴  Distance AB = 50 × 12 + 60 ×
12 = 600 + 720 = 1320 km
Second Method :
Here, a = 60, b = 50, d = 120
Distance between A and B =
a + b
× d
a − b

   =
60 + 50
× 120
60 − 50

=
110
× 120 = 1320 km
10



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