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the ratio of the rate of earning $2.75 for 5 days' work to t

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the ratio of the rate of earning $2.75 for 5 days' work to t [#permalink]

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New post 13 Jan 2013, 11:35
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the ratio of rate of earning $2.75 for 5 days' work to the rate of earning $2.1 for 4 days' work is close to:

A.2.75:2.4 B.11:12 C.5:4 D.12:11 E.13.75:6

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Magoosh GMAT Instructor
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New post 16 Jan 2013, 12:04
chiccufrazer1 wrote:
the ratio of rate of earning $2.75 for 5 days' work to the rate of earning $2.1 for 4 days' work is close to:
(A) 2.75:2.4
(B) 11:12
(C) 5:4
(D) 12:11
(E) 13.75:6

Dear chiccufrazer1,

I have NEVER seen an official math question ask anything like a "close to" question of this sort. The exact ratio here is, of course, 22/21 --- I could imagine the GMAT asking for that. I could also imagine an approximation question --- if they made this much in this period, how much would they make in this larger period? Finally, I don't think the GMAT would ever expect test takers to recognize without a calculator that, for example, 22/21 is closer to 12/11 than it is to 5/4.

I believe this question has in it, as it were, the seeds of one or two very good questions, but with all due respect, in its current form, I don't believe it would ever appear on the GMAT.

Mike :-)
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New post 16 Jan 2013, 12:59
okay..if there happened to be some eratum in the question,i am really sorry about that,maybe the answer was predicted to be some sort of approximation to a whole number..but would you please explain on how you ended up getting 22:21..i just wanted to know clearly how it is possible to have ratio from unequal two separate number of days

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New post 16 Jan 2013, 14:38
chiccufrazer1 wrote:
okay..if there happened to be some erratum in the question, i am really sorry about that, maybe the answer was predicted to be some sort of approximation to a whole number..but would you please explain on how you ended up getting 22:21..i just wanted to know clearly how it is possible to have ratio from unequal two separate number of days

I'm happy to answer this. :-)

The question asks for "the ratio of rate of earning $2.75 for 5 days' work to the rate of earning $2.1 for 4 days' work" ----- it's asking for a ratio of rates, which is a very difficult idea.

Rate #1 = $2.75/5 = $0.55

Rate #2 = $2.10/4 = $1.05/2

The ratio sought by the question is the ratio of these two rates:

ratio = [Rate #1]/[Rate #2] = ($0.55)/[$1.05/2] = ($0.55)*(2/$1.05) = $1.10/$1.05 = 110/105 = 22/21

Does all this make sense?

Mike :-)
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Re: the ratio of the rate of earning $2.75 for 5 days' work to t   [#permalink] 16 Jan 2013, 14:38
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