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Two trains one of length 100 m and another of length 125 m, are moving in mutually opposite directions along parallel lines, meet each other, each with speed 10 m/s. If their acceleration are 0.3 m/s2 and 0.2 m/s2, respectively, then the time they take to pass each other will be

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a

5s

b

10s

c

15s

d

20s

answer is B.

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Detailed Solution

Relative velocity of one train w.r.t. other =10+10=20m/s Relative acceleration =0.3+0.2=0.5m/s2 If trains cross each other, then from s=ut+12at2 As, s=s1+s2=100+125=225⇒ 225=20t+12×0.5×t2 ⇒0.5t2+40t−450=0⇒ t=−40±1600+4.(005)×4501=−40±50∴ t=10 sec (Taking +ve value).
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Two trains one of length 100 m and another of length 125 m, are moving in mutually opposite directions along parallel lines, meet each other, each with speed 10 m/s. If their acceleration are 0.3 m/s2 and 0.2 m/s2, respectively, then the time they take to pass each other will be