Question
Speed of two trains 'A' and 'B' is 16 m/s and ___ m/s
respectively. Length of 'B' and 'A' is ___ metres and 320 metres, respectively. Time taken by the trains to cross each other when moving in same direction is 48 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. 29, 304 II. 29, 314 III. 22, 200Solution
Statement I: Relative speed = 29 - 16 = 13 m/s
Sum of length of both the trains = 304 + 320 = 624 metres
Time taken to cross each other = (624/13) = 48 seconds So, statement I is true. Statement II: Relative speed = 29 - 16 = 13 m/s
Sum of length of both the trains = 314 + 320 = 634 metres
Time taken to cross each other = (634/13) ≈ 48.8 seconds So, statement II is false. Statement III: Relative speed = 22 - 16 = 6 m/s
Sum of length of both the trains = 200 + 320 = 520 metres
Time taken to cross each other = (520/6) ≈ 86.7 seconds So, statement III is false. Therefore, only statement I is true. Hence, option E.
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