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Emdad
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2 men and 5 women completed only 1/4th portion of a job in 3 days. Aft 01 Oct 2021, 12:25
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

65% (hard)

Question Stats:

65% (02:48) correct 35% (03:03) wrong based on 184 sessions

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2 men and 5 women completed only 1/4th portion of a job in 3 days. After 3 days another man was included in the team and in 2 days they completed another 1/4th portion of the job. How many men (with no women) can complete the whole job in 4 days?

(A) 12
(B) 8
(C) 6
(D) 4
(E) none of these
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C
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rocky620
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2 men and 5 women completed only 1/4th portion of a job in 3 days. Aft 03 Oct 2021, 08:54
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2m + 5w ––> 1/4 job ––> 3 days
2m + 5w ––> 1/12 job ––> 1 day
2m + 5w ––> 1/6 job ––> 2 days.......eq-1


3m + 5w ––> 1/4 job ––> 2 days.
1m +(2m + 5w) = 1/4 job ––> 2 days.
1m = 1/4 -1/6 job––> 2 days
1m = 1/12 job––> 2 days
1m = 1/24 job––> 1 day..........eq-2

So, 1 man will complete the whole work in 24 days, and 4 men will complete the work in 6 days.
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2 men and 5 women completed only 1/4th portion of a job in 3 days. Aft 02 Oct 2021, 03:30
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2m + 5w ––> 1/4 job ––> 3 days.

3m + 5w ––> 1/4 job ––> 2 days.

Then, how many days can one man complete 1/4 of job?

1/3 + 1/x = 1/2

x = 6 days ( 1 man, 1/4 job)

––––––––––––––––––––––––

How many men can complete the whole job in 4 days?

6 days ( 4 men, 4/4 job)

4 days ( ? men, 4/4 job)

men = 6
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2 men and 5 women completed only 1/4th portion of a job in 3 days. Aft 03 Oct 2021, 10:01
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Emdad
2 men and 5 women completed only 1/4th portion of a job in 3 days. After 3 days another man was included in the team and in 2 days they completed another 1/4th portion of the job. How many men (with no women) can complete the whole job in 4 days?
(A) 12
(B) 8
(C) 6
(D) 4
(E) none of these
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Logically the data in the question is inconsistent. Let m be the efficiency of man, w be the efficiency of women then
(2m + 5w)* 3* 4 = total work (.. from 1 )
=> 24m + 60w = total work ... (1)
(3 + 5w)*2 * 4 = total work (.. from 2)
=> 24m + 40 w = total work .. (2)

if you equate the two questions, you will get w = 0. A meaning woman has no role to plan in the question.

Cross-check: if we remove women from the equation will still be the same
2 men can complete 1/4 of the work in 3 days
3 men can complete 1/4 of the work in 2 day

I really doubt if such a question will be asked on the real GMAT.
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2 men and 5 women completed only 1/4th portion of a job in 3 days. Aft 03 Oct 2021, 10:27
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Suppose a man takes m days and a woman days w days to finish the task.

2/m + 5/w = 1/12

3/m + 5/w = 1/8

Subtracting:

1/m = 1/8 - 1/12 = 1/24

m = 24 days

So, a man takes 24 days to complete the task.

So, to complete the task in 4 days would need 6 men.
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2 men and 5 women completed only 1/4th portion of a job in 3 days. Aft 25 Dec 2024, 03:39
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