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Two trains 165 m and 135 m long run at the speed of 70 km/hr and 38 km/hr respectively in opposite directions on parallel tracks. The time…

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Two trains 165 m and 135 m long run at the speed of 70 km/hr and 38 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is:
  • A4 sec
  • B5 sec
  • C10 sec
  • D13 sec
Correct answer: C
0
CCommunity
10 sec

NA
0
CCommunity
Solution:

Since the two trains are said to be running opposite to each other in parallel track , we have,

Relative speed of the faster train w.r.t slower train

= Sum of the speed of two trains

= 70 + 38 = 108 × (5/18)

S = 30 m/sec

In that case, the distance travelled = Sum of the length of the trains

D = 165 + 135 = 300 m

So, the time required = D / S

= 300 / 30

= 10 sec

So, the correct option is C). 10 sec