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Robert traveled a distance of 30 km, covering the first 10

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Senior Manager
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Joined: 17 Dec 2012
Posts: 359
Location: India
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Robert traveled a distance of 30 km, covering the first 10 [#permalink] New post 03 Jan 2013, 03:03
00:00
A
B
C
D
E

Difficulty:

  25% (low)

Question Stats:

77% (03:12) correct 22% (02:23) wrong based on 44 sessions
Robert traveled a distance of 30 km, covering the first 10 km in x minutes, the next 10 km in y minutes and the last 10 km in z minutes. If he totally took 3y minutes to cover the whole distance, then which of the following cannot be true? Assume x , y and z are different.

A. z=3x
B. x=3z
C. y=2x
D. x=2y
E. y=3x
[Reveal] Spoiler: OA

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Joined: 15 May 2012
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Kudos [?]: 1 [0], given: 1

Re: Robert traveled a distance [#permalink] New post 03 Jan 2013, 03:19
Robert Travelled for x,y and for z min.

Total Time : x + y + z

Which is equal to : 3y

Equating both sides we get

x+y+z = 3y

=> x+z =2y ........ Eqn 1

Looking out at options

D Says x =2y
Using it in Eqn 1

2y + z = 2y

=> Z = 0 mins, Which I guess is not possible.

The Ans is D
I hope I am correct with the explanation.
Re: Robert traveled a distance   [#permalink] 03 Jan 2013, 03:19
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Robert traveled a distance of 30 km, covering the first 10

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