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Two trains one of length 100m and anothe...

Two trains one of length 100m 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)/(s^2)` and `0.2(m)/(s^2)` respectively, then the time they take to pass each other will be

A

5s

B

10s

C

15s

D

20s

Text Solution

Verified by Experts

The correct Answer is:
B
Relative velocity of one train w.r.t. other
`=10+10=20(m)/(s)`.
relative acceleration`=0.3+0.2=0.5(m)/(s^2)`
If trains cross each other than from `s=ut+(1)/(2)at^2`
As, `s=s_1+s_2=100+125=225`
`implies225=20t+(1)/(2)xx0.5xxt^2implies0.5t^2+40t-450=0`
`impliest=-(40+-sqrt(1600+4.(005)xx450))/(1)=-40+-50`
`t=10` sec (Taking `+` ve value).
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