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A train traveled from station A to station B at an average

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Joined: 29 Oct 2013
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Concentration: Finance
GMAT 1: 750 Q48 V46
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A train traveled from station A to station B at an average [#permalink] New post 04 Jun 2014, 23:00
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A
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C
D
E

Difficulty:

  45% (medium)

Question Stats:

67% (02:11) correct 33% (01:12) wrong based on 84 sessions
A train traveled from station A to station B at an average speed of 80 kilometers per hour and then from Station B to Station C at an average speed of 60 kilometers per hour. If the train did not stop at station B, what was the average speed at which the train traveled from station A to C?

1. The distance that train traveled from A to C was four times the distance that train traveled from station B to station C.
2. The amount of time it took to the train to travel from station A to station B is three times the amount of time that it took the train to travel from station B to station C.

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[Reveal] Spoiler: OA

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Last edited by MensaNumber on 05 Jun 2014, 00:54, edited 1 time in total.
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Re: A train traveled from station A to station B at an average [#permalink] New post 05 Jun 2014, 00:29
MensaNumber wrote:
A train traveled from station A to station B at an average speed of 80 kmph and then from Station B to Station C at an average speed of 60 kmph. What was the average speed from A to C?

1. The distance from A to C four times the distance from B to C
2. The amount of time it took to travel from A to B is four time that of time it took to travel from B to C

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Average speed = total distance/ total time.

1) A-----B-------C

let bc=x, therefore AC=4x, and AB=3x

thus average speed = 4x/{(3x/80)+(x/60)}

we can easily calculate the value of avg. speed from the above exp. hence sufficient

2) A---------B----------c

let distance between AB=x and BC=y
x/80=4(y/60)

x=(16/3)y-------------1)

average speed = x+y/{(x/80)+(y/60)}

we can substitute the value of x in terms of y in the above expression to find out the average speed. hence sufficient

therefore correct answer should be D
Re: A train traveled from station A to station B at an average   [#permalink] 05 Jun 2014, 00:29
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