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25 men and 15 women can complete a piece of work in 12 days. All of them start working together and after working for 8 days the women stopped working. 25 men completed the remaining work in 6 days. How many days will it take for completing the entire job if only 15 women are put on job.?
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25 men and 15 women can complete a piece of work in 12 days. All of th...
Given Information:
- 25 men and 15 women can complete a piece of work in 12 days.
- All of them start working together.
- After working for 8 days, the women stopped working.
- 25 men completed the remaining work in 6 days.
Calculating the Work Rate:
Let's assume the work rate of a man is M and the work rate of a woman is W.
Since 25 men and 15 women can complete the work in 12 days:
25M + 15W = 1/12
After working for 8 days, the total work done by both men and women:
8(25M + 15W) = 8/12 = 2/3
The remaining work was completed by 25 men in 6 days:
25M x 6 = 1 - 2/3 = 1/3
Solving the Equations:
From the above equations, we can solve for M and W:
1. 25M + 15W = 1/12
2. 8(25M + 15W) = 2/3
3. 25M x 6 = 1/3
Solve the above equations to find the values of M and W.
Calculating the Total Work:
Now that we have the work rates of men and women, we can calculate the total work done by 15 women alone in one day.
15W x Number of days = Total work done by 15 women
Finally, we can determine how many days it will take for 15 women to complete the entire job working alone.
- 25 men and 15 women can complete a piece of work in 12 days.
- All of them start working together.
- After working for 8 days, the women stopped working.
- 25 men completed the remaining work in 6 days.
Calculating the Work Rate:
Let's assume the work rate of a man is M and the work rate of a woman is W.
Since 25 men and 15 women can complete the work in 12 days:
25M + 15W = 1/12
After working for 8 days, the total work done by both men and women:
8(25M + 15W) = 8/12 = 2/3
The remaining work was completed by 25 men in 6 days:
25M x 6 = 1 - 2/3 = 1/3
Solving the Equations:
From the above equations, we can solve for M and W:
1. 25M + 15W = 1/12
2. 8(25M + 15W) = 2/3
3. 25M x 6 = 1/3
Solve the above equations to find the values of M and W.
Calculating the Total Work:
Now that we have the work rates of men and women, we can calculate the total work done by 15 women alone in one day.
15W x Number of days = Total work done by 15 women
Finally, we can determine how many days it will take for 15 women to complete the entire job working alone.
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25 men and 15 women can complete a piece of work in 12 days. All of them start working together and after working for 8 days the women stopped working. 25 men completed the remaining work in 6 days. How many days will it take for completing the entire job if only 15 women are put on job.?
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25 men and 15 women can complete a piece of work in 12 days. All of them start working together and after working for 8 days the women stopped working. 25 men completed the remaining work in 6 days. How many days will it take for completing the entire job if only 15 women are put on job.? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 25 men and 15 women can complete a piece of work in 12 days. All of them start working together and after working for 8 days the women stopped working. 25 men completed the remaining work in 6 days. How many days will it take for completing the entire job if only 15 women are put on job.? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 25 men and 15 women can complete a piece of work in 12 days. All of them start working together and after working for 8 days the women stopped working. 25 men completed the remaining work in 6 days. How many days will it take for completing the entire job if only 15 women are put on job.?.
25 men and 15 women can complete a piece of work in 12 days. All of them start working together and after working for 8 days the women stopped working. 25 men completed the remaining work in 6 days. How many days will it take for completing the entire job if only 15 women are put on job.? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 25 men and 15 women can complete a piece of work in 12 days. All of them start working together and after working for 8 days the women stopped working. 25 men completed the remaining work in 6 days. How many days will it take for completing the entire job if only 15 women are put on job.? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 25 men and 15 women can complete a piece of work in 12 days. All of them start working together and after working for 8 days the women stopped working. 25 men completed the remaining work in 6 days. How many days will it take for completing the entire job if only 15 women are put on job.?.
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