A train B speeding with 120 kmph crosses another train C running in the same direction In 2 minutes ...........

Quantitative Aptitude ( CCS) Problems on trains

A train B speeding with 120 kmph crosses another train C running in the same direction, In 2 minutes. If the lengths of the trains B and C be 100m and 200m respectively, what is the speed (in kmph) of the train C ?

111

123

127

129

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Explanation:

Let the speed of train C be x kmph.
Speed of train B relative to C = (120 - x) kmph
= [(120 - x) × 5/18] m/sec
= (600 – 5x)/18 m/sec.
Distance covered
= 100 + 200 = 300m
∴ 300/(600 – 5x)/18 = 120
= 300 = 120(600 – 5x)/18
= 10 × 9 = 2 (600 - 5x)
= 90 = 1200 - 10x
= 10x = 1200 – 90
= x = 1110/10 = 111
Hence, the speed of train C is 111 kmph.