Question
Speed of two trains 'A' and 'B' is 18 m/s and ___ m/s
respectively. Length of 'B' and 'A' is ___ metres and 360 metres, respectively. Time taken by the trains to cross each other when moving in same direction is 60 seconds. The data given in which among the given options will fill the blank in the same order so as to make the statement true? I. 25, 60 II. 10, 120 III. 7, 350Solution
Statement I: Relative speed = 25 - 18 = 7 m/s
Sum of length of both the trains = 60 + 360 = 420 metres
Time taken to cross each other = (420/7) = 60 seconds So, statement I is true. Statement II: Relative speed = 18 - 10 = 8 m/s
Sum of length of both the trains = 120 + 360 = 480 metres
Time taken to cross each other = (480/8) = 60 seconds So, statement II is true. Statement III: Relative speed = 18 - 7 = 11 m/s
Sum of length of both the trains = 350 + 360 = 710 metres
Time taken to cross each other = (710/11) ≈ 64.5 seconds So, statement III is false. Therefore, both statement I and II are true. Hence, option D.
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