Twenty-Four Men Can Complete A Work In Sixteen Days GMAT Problem-Solving

This is a problem-solving question for the GMAT. Here, in order to provide an answer, the data provided in the questions must be analysed. The technique may involve elements from other branches of mathematics. The way the options are presented is fairly near to the right response, therefore guessing normally can result in errors. The question must be fully understood by the students, and they must approach the answer in the correct way.

First, determine the pace at which men and women complete their work.
The task is finished in 16 days by 24 workers.
The identical task can be finished by 32 women in 24 days.
As a result, it will take 32 days to finish the work with 24 ladies.
The same number of women work at half the pace because they take twice as long (16 vs. 32 days).
Thus, in terms of labor, 16 women are equal to 8 males.
24 men = 16 +8
then begin to labor and do so for 12 days. They finish the job in 16 days, leaving them with 4 more days to finish. But we'll need twice as many workers if we want them to finish the job in only two days. Therefore, we still need 24 men.

B is the correct answer.

This is a problem-solving question for the GMAT. Here, in order to provide an answer, the data provided in the questions must be analysed. The technique may involve elements from other branches of mathematics. The way the options are presented is fairly near to the right response, therefore guessing normally can result in errors. The question must be fully understood by the students, and they must approach the answer in the correct way.

Because 24 men may finish a task in 16 days, their rate is 1/16; hence, the rate of 1 man is (1/16)/24, or 1/384. Similar to this, 32 women may finish the identical task in 24 days; their rate is 1/24, and as a result, the rate for one woman is (1/24)/32, or 1/768. The rate is therefore 16 x (1/384) + 16 x (1/768) = 1/24 + 1/48 = 2/48 + 1/48 = 3/48 = 1/16 for 16 males and 16 women.

These 16 men and 16 women finished 3/4 of the job because they worked for 12 days, or (1/16) times 12 = 12/16.

As a result, only one-fourth of the work remains. Given that each guy works at a pace of 1/384 and the existing 16 men and 16 women work at a rate of 1/16, we can use the formula below to determine how many more men are required to finish the remaining work in 2 days:

n(1/384)(2) + (1/16)(2) = ¼
n/192 + 1/8 = ¼
n/192 = 1/8
8n = 192
n = 24

B is the correct answer.

This is a problem-solving question for the GMAT. Here, in order to provide an answer, the data provided in the questions must be analysed. The technique may involve elements from other branches of mathematics. The way the options are presented is fairly near to the right response, therefore guessing normally can result in errors. The question must be fully understood by the students, and they must approach the answer in the correct way.

The rate of work for men and women should be similar. be, respectively, x and y.

As stated by the formula 24*16*x = z
32*24*y = z
Consequently, x = 2y and 24*16*x = 32*24*y.
12 days of work equals (16x + 16y)12 = (32y + 16y) 12 = 48*12y = 24*24y
Work Left = 32 * 24 * 24 * 8 * 24
(Number of men added rate + current workers rate)*2 = Work Left

or (N*x + 16x + 16y)*2 = 8*24y
calculating x=2y
4*24y = 2Ny+48y
2Ny = 48y
or N = 24.

The appropriate answer is B.