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Train A leaves a station every 16 minutes and Train B leaves every 19

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Train A leaves a station every 16 minutes and Train B leaves every 19  [#permalink]

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New post 02 Nov 2016, 02:55
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Train A leaves a station every 16 minutes and Train B leaves every 19 minutes. If both trains just left the station simultaneously, how long until they do so again?

A. 608 minutes
B. 304 minutes
C. 190 minutes
D. 70 minutes
E. 35 minutes

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Re: Train A leaves a station every 16 minutes and Train B leaves every 19  [#permalink]

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New post 02 Nov 2016, 03:05
Bunuel wrote:
Train A leaves a station every 16 minutes and Train B leaves every 19 minutes. If both trains just left the station simultaneously, how long until they do so again?

A. 608 minutes
B. 304 minutes
C. 190 minutes
D. 70 minutes
E. 35 minutes


IMO B
The next moment when both the trains would leave simultaneously would be 16*19= 304 minutes after the 1st instance.
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Re: Train A leaves a station every 16 minutes and Train B leaves every 19  [#permalink]

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New post 02 Nov 2016, 07:57
Bunuel wrote:
Train A leaves a station every 16 minutes and Train B leaves every 19 minutes. If both trains just left the station simultaneously, how long until they do so again?

A. 608 minutes
B. 304 minutes
C. 190 minutes
D. 70 minutes
E. 35 minutes


LCM of 19 and 16 is 304.
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Re: Train A leaves a station every 16 minutes and Train B leaves every 19  [#permalink]

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New post 02 Nov 2016, 09:01
1
Bunuel wrote:
Train A leaves a station every 16 minutes and Train B leaves every 19 minutes. If both trains just left the station simultaneously, how long until they do so again?

A. 608 minutes
B. 304 minutes
C. 190 minutes
D. 70 minutes
E. 35 minutes


Quote:
both trains just left the station simultaneously, how long until they do so again


So, we need to find the LCM and as 16 & 19 have no common factor in them (CO Prime Set) , LCM = 16*19 = 304

Hence, answer will be (B) 304
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Re: Train A leaves a station every 16 minutes and Train B leaves every 19  [#permalink]

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New post 02 Nov 2016, 18:19
LCM of 16 and 19 = 304
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Re: Train A leaves a station every 16 minutes and Train B leaves every 19  [#permalink]

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New post 03 Nov 2016, 00:06
We have to find the LCM:

19 is a prime number which means the LCM of 16 and 19 has to be 16*19=304

Correct answer is B.
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Re: Train A leaves a station every 16 minutes and Train B leaves every 19  [#permalink]

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New post 04 Nov 2016, 09:39
Bunuel wrote:
Train A leaves a station every 16 minutes and Train B leaves every 19 minutes. If both trains just left the station simultaneously, how long until they do so again?

A. 608 minutes
B. 304 minutes
C. 190 minutes
D. 70 minutes
E. 35 minutes


The LCM can be used to determine when two processes that occur at differing rates or times will coincide. Since we are given that Train A leaves a station every 16 minutes and Train B leaves every 19 minutes, we need to determine the LCM of 16 and 19. Since 16 and 19 have no common factors other than 1, we can determine the LCM of 16 and 19 to be the product of the two numbers; that is, the trains will again leave the station at the same time in 16 x 19 = 304 minutes.

Answer: B
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Re: Train A leaves a station every 16 minutes and Train B leaves every 19  [#permalink]

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New post 21 Nov 2016, 13:45
Can somebody explain the intuition of this question please?
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Re: Train A leaves a station every 16 minutes and Train B leaves every 19  [#permalink]

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New post 21 Nov 2016, 13:45
Can somebody explain the intuition of this question please?
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Re: Train A leaves a station every 16 minutes and Train B leaves every 19  [#permalink]

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Re: Train A leaves a station every 16 minutes and Train B leaves every 19 &nbs [#permalink] 22 Aug 2018, 16:08
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