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Three automobiles travel distances that are in the ratios of 1:2:3.

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Three automobiles travel distances that are in the ratios of 1:2:3.  [#permalink]

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New post 01 Dec 2018, 08:06
2
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

70% (01:13) correct 30% (01:49) wrong based on 46 sessions

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Three automobiles travel distances that are in the ratios of 1:2:3. If the ratios of the traveling times over these distances for these automobiles are 3:2:1 in the same respective order, what are the ratios of their respective average speeds?

(A) 1:1:1
(B) 1:3:3
(C) 1:3:9
(D) 3:2:1
(E) 3:4:3

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Re: Three automobiles travel distances that are in the ratios of 1:2:3.  [#permalink]

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New post 01 Dec 2018, 08:20
1
Distance Ratio = 1x:2x:3x

Time taken ratio = 3x:2x:1x

Average speed = Total Distance/Time = 1/3 : 2/2 : 3/1
Taking LCM gives 1:3:9.

C is the answer.
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Re: Three automobiles travel distances that are in the ratios of 1:2:3.  [#permalink]

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New post 04 Dec 2018, 03:26
Afc0892 wrote:
Distance Ratio = 1x:2x:3x

Time taken ratio = 3x:2x:1x

Average speed = Total Distance/Time = 1/3 : 2/2 : 3/1
Taking LCM gives 1:3:9.

C is the answer.



Can you explain this a little further? How did you figure out you need to get the LCM? Also, how did you come up with the final ratio?
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Re: Three automobiles travel distances that are in the ratios of 1:2:3.  [#permalink]

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New post 04 Dec 2018, 03:31
justgottamakeit1592 wrote:
Afc0892 wrote:
Distance Ratio = 1x:2x:3x

Time taken ratio = 3x:2x:1x

Average speed = Total Distance/Time = 1/3 : 2/2 : 3/1
Taking LCM gives 1:3:9.

C is the answer.



Can you explain this a little further? How did you figure out you need to get the LCM? Also, how did you come up with the final ratio?


The ratio is 1/3 : 1 : 3/1
Since this option is not listed in the answer choices. We need to further simplify.
Now,
LCM of denominator is 3.
Now multiply the ratio by 3, we get

1/3*3 : 1*3 : 3/1*3
1:3:9

Hope it's clear

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Re: Three automobiles travel distances that are in the ratios of 1:2:3.  [#permalink]

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New post 04 Dec 2018, 03:35
Ahh I see..thanks for the quick response!
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Re: Three automobiles travel distances that are in the ratios of 1:2:3. &nbs [#permalink] 04 Dec 2018, 03:35
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Three automobiles travel distances that are in the ratios of 1:2:3.

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