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# Two train of equal length running in opposite direction

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Joined: 13 Aug 2018
Posts: 59
Two train of equal length running in opposite direction  [#permalink]

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31 Mar 2019, 03:56
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00:00

Difficulty:

55% (hard)

Question Stats:

60% (02:14) correct 40% (02:00) wrong based on 83 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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31 Mar 2019, 05:02
2
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

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

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31 Mar 2019, 05:10
1
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]

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28 Sep 2019, 04:07
let distance = x
speed of train 1 ; x/18
speed of train 2 ; x/12
total speed ; 5x/36
total time taken to cross each other ; x+x/5x/36 ; 36*2x/5x ; 14.4 sec
IMO C

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
Intern
Joined: 04 Feb 2018
Posts: 46
Re: Two train of equal length running in opposite direction  [#permalink]

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21 Oct 2019, 17:05
Length of one train = LCM (18, 12) = 36
Speed of first train = 36/18 = 2
Speed of second train = 36/12 = 3
Total length (distance) of the two trains = 2(36) = 72
Relative speed = 5
Time to cross each other = 72/5 = 14.4
Re: Two train of equal length running in opposite direction   [#permalink] 21 Oct 2019, 17:05
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