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Two train of equal length running in opposite direction

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Intern
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Joined: 13 Aug 2018
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Two train of equal length running in opposite direction  [#permalink]

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New post 31 Mar 2019, 03:56
3
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

52% (01:53) correct 48% (02:14) wrong based on 21 sessions

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Two train of equal length running in opposite direction, pass a pole in 18 and 12
seconds. The trains will cross each other in ?
a. 12.6 seconds
b. 13.5 seconds
c. 14.4 seconds
d. 15.3 seconds
e. 16 seconds

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Re: Two train of equal length running in opposite direction  [#permalink]

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New post 31 Mar 2019, 05:02
1
jackfr2 wrote:
Two train of equal length running in opposite direction, pass a pole in 18 and 12
seconds. The trains will cross each other in ?
a. 12.6 seconds
b. 13.5 seconds
c. 14.4 seconds
d. 15.3 seconds
e. 16 seconds

Posted from my mobile device


Let, length of train = 180

First train crosses its length in 18 second
i.e. speed of first train = 180/18 = 10

Second train covers same distance in 12 secs
i.e. speed of first train = 180/12 = 15

To cross each other the distance to be covered = 180+180 = 360
Relative speed = 10+15 = 25
Time = 360/25 = 14.4 secs

Answer: Option C
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Re: Two train of equal length running in opposite direction  [#permalink]

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New post 31 Mar 2019, 05:10
1
jackfr2 wrote:
Two train of equal length running in opposite direction, pass a pole in 18 and 12
seconds. The trains will cross each other in ?
a. 12.6 seconds
b. 13.5 seconds
c. 14.4 seconds
d. 15.3 seconds
e. 16 seconds

Posted from my mobile device


Let the lenghths of the train be 36 (LCM of 18 & 12)

So Speed of the 2 trains are 2 & 3

Thus, relative speeds of the train moving in opposite direction will be 2 + 3 = 5

So, time taken to cross each other will be \(\frac{36 + 36}{2 + 3}\) = 14.4 , Answer must be (C)
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Re: Two train of equal length running in opposite direction   [#permalink] 31 Mar 2019, 05:10
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