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A can complete a certain job in 12 days. B is 60%

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A can complete a certain job in 12 days. B is 60% [#permalink]

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New post 02 Jun 2014, 06:09
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A can complete a certain job in 12 days. B is 60% more efficient than A. In how many days can B complete the same job?

(A) 6
(B) 6.25
(C) 7
(D) 7.5
(E) 4.8

Kudos if you like the question..

[Reveal] Spoiler:
Little awkward explanation.60% more efficient means B can do 160% of work in same no. of days as A takes to do 100% of work.
160% work in 12 days
100% work in x days
x = \(\frac{(12*100)}{160}\)
[Reveal] Spoiler: OA
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Re: A can complete a certain job in 12 days. B is 60% [#permalink]

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New post 02 Jun 2014, 06:29
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b2bt wrote:
A can complete a certain job in 12 days. B is 60% more efficient than A. In how many days can B complete the same job?

(A) 6
(B) 6.25
(C) 7
(D) 7.5
(E) 4.8

Kudos if you like the question..

[Reveal] Spoiler:
Little awkward explanation.60% more efficient means B can do 160% of work in same no. of days as A takes to do 100% of work.
160% work in 12 days
100% work in x days
x = \(\frac{(12*100)}{160}\)


B is 60% more efficient than A, means that the rate of B is 1.6 times as greater as that of A.

So, if A can complete the job in 12 days, then B complete the same job in 12/1.6 = 12/(8/5) = 15/2 = 7.5 days.

Answer D.

P.S. Not exactly a GMAT wording.
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Re: A can complete a certain job in 12 days. B is 60% [#permalink]

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New post 12 Jul 2015, 02:52
b2bt wrote:
A can complete a certain job in 12 days. B is 60% more efficient than A. In how many days can B complete the same job?

(A) 6
(B) 6.25
(C) 7
(D) 7.5
(E) 4.8

Kudos if you like the question..

[Reveal] Spoiler:
Little awkward explanation.60% more efficient means B can do 160% of work in same no. of days as A takes to do 100% of work.
160% work in 12 days
100% work in x days
x = \(\frac{(12*100)}{160}\)


Set up a Rate Time Work Table and plug in the values:

Rate / Time / Work for A:
12 / 12 / 144

Rate / Time / Work for B:
19.2 / 7.5 / 144

Do not fall into the trap by just working with the time, i.e. taking 60% off from 12 days and subtracting it from 12. Trap Answer E.
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Re: A can complete a certain job in 12 days. B is 60% [#permalink]

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New post 12 Jul 2015, 05:05
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b2bt wrote:
A can complete a certain job in 12 days. B is 60% more efficient than A. In how many days can B complete the same job?

(A) 6
(B) 6.25
(C) 7
(D) 7.5
(E) 4.8


Alternate Method

Let, Total Work Unit = 120 Units

A can finish in 12 days = 120 unit work
i.e. A can finish in 1 days = 10 unit work
i.e. B can finish in 1 days = 10+(60/100)*10 = 16 unit work

Days in which B will complete the work alone = 120/16 = 30/4 = 7.5 days

Answer: Option D
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Re: A can complete a certain job in 12 days. B is 60% [#permalink]

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New post 12 Jul 2015, 09:18
Let the number of units of work done by A in one day = 10, so B does 16 units of work per day.

Total units of work done by A = 12*10 = 120 units.

No. of days taken by B to do 120 units of work = 120/16 = 7.5. Ans (D).
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Re: A can complete a certain job in 12 days. B is 60% [#permalink]

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Re: A can complete a certain job in 12 days. B is 60% [#permalink]

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New post 18 Apr 2017, 09:37
You could even do process elimination

let's start with C

7 x 1 3/5
56/5 or 11 1/5 Not the answer. Let's use a big number

D - 7 1/2 x 1 3/5
15/2 x 8/5
12

The answer is D
Re: A can complete a certain job in 12 days. B is 60%   [#permalink] 18 Apr 2017, 09:37
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