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a bus every 4 and 12 mins

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a bus every 4 and 12 mins [#permalink]

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New post 26 Aug 2011, 13:32
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A man cycling along the road noticed that every 12 minutes a bus overtakes him and every 4 minutes he meets an oncoming bus. If all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses?

A) 5 minutes
B) 6 minutes
C) 8 minutes
D) 9 minutes
E) 10 minutes

[Reveal] Spoiler: Solution
B + C)*4 = (B - C)*12
or, B=2C
Hence,distance b/w two buses in same direction,d=4*(3/2)B=6 B
Therefore, time gap=d/B=6 minutes
[Reveal] Spoiler: OA

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Re: a bus every 4 and 12 mins [#permalink]

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New post 26 Aug 2011, 14:10
MBAhereIcome wrote:
A man cycling along the road noticed that every 12 minutes a bus overtakes him and every 4 minutes he meets an oncoming bus. If all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses?

A) 5 minutes
B) 6 minutes
C) 8 minutes
D) 9 minutes
E) 10 minutes

[Reveal] Spoiler: Solution
B + C)*4 = (B - C)*12
or, B=2C
Hence,distance b/w two buses in same direction,d=4*(3/2)B=6 B
Therefore, time gap=d/B=6 minutes


m08-18-bus-intervals-74253.html
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Re: a bus every 4 and 12 mins   [#permalink] 26 Aug 2011, 14:10
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a bus every 4 and 12 mins

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