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# The bus that travels from St. Louis to Chicago and back comes to St.

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Math Expert
Joined: 02 Sep 2009
Posts: 64240
The bus that travels from St. Louis to Chicago and back comes to St.  [#permalink]

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04 Jul 2016, 07:52
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Difficulty:

25% (medium)

Question Stats:

100% (01:04) correct 0% (00:00) wrong based on 16 sessions

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The bus that travels from St. Louis to Chicago and back comes to St. Louis every 4 hours while the bus that travels from St. Louis to Springfield and back comes to St. Louis every 6 hours. If at 12:00 o'clock both bused arrived at St. Louis, at what time will they meet in St. Louis again?

A. 16:00.
B. 18:00.
C. 20:00.
D. 22:00.
E. 24:00.

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Re: The bus that travels from St. Louis to Chicago and back comes to St.  [#permalink]

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04 Jul 2016, 09:57
Time taken by bus to travel from St. Louis to Chicago and back comes to St. Louis = 4 hours
Time taken by bus to travel from St. Louis to Springfield and back comes to St. Louis = 6 hours
Time taken by both buses to meet again in St. Louis will be LCM of 4 and 6 = 12
If the buses start at 12:00 o'clock from St. Louis , they will meet again in St. Louis at 24:00 hours
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The bus that travels from St. Louis to Chicago and back comes to St.  [#permalink]

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05 Jul 2016, 02:24
Bus one frequency is 6 hours
Bus two frequency is 4 hours
they will meet again after LCM(6,4)=12 hours
now, both buses arrived at 12 the next time they will meet is at 12+12 = 24:00
The bus that travels from St. Louis to Chicago and back comes to St.   [#permalink] 05 Jul 2016, 02:24