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2 men and 3 women are employed to type 100 pages on computer. They completed the work in 5 hours. If one man can do twice work in one hour as compared to one woman, find the number of hours to type 200 pages by 10 women.
- a)12
- b)7
- c)6
- d)8.5
- e)10
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
2 men and 3 women are employed to type 100 pages on computer. They com...
B) 7
Explanation: Given 1 m = 2 w. So 2 m = 4w 2m+3w 100 pages in 5 hrs, so 4w+3w = 7 women 100 pages in 5 hours. So M1*H1*W2 = M2*D2*H2*W1
7*5*200 = 10*H2*100
Solve H2 = 7
Explanation: Given 1 m = 2 w. So 2 m = 4w 2m+3w 100 pages in 5 hrs, so 4w+3w = 7 women 100 pages in 5 hours. So M1*H1*W2 = M2*D2*H2*W1
7*5*200 = 10*H2*100
Solve H2 = 7
Most Upvoted Answer
2 men and 3 women are employed to type 100 pages on computer. They com...
B) 7
Explanation: Given 1 m = 2 w. So 2 m = 4w 2m+3w 100 pages in 5 hrs, so 4w+3w = 7 women 100 pages in 5 hours. So M1*H1*W2 = M2*D2*H2*W1
7*5*200 = 10*H2*100
Solve H2 = 7
Explanation: Given 1 m = 2 w. So 2 m = 4w 2m+3w 100 pages in 5 hrs, so 4w+3w = 7 women 100 pages in 5 hours. So M1*H1*W2 = M2*D2*H2*W1
7*5*200 = 10*H2*100
Solve H2 = 7
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2 men and 3 women are employed to type 100 pages on computer. They com...
Given information:
- 2 men and 3 women are employed to type 100 pages on a computer.
- They completed the work in 5 hours.
- One man can do twice the work in one hour compared to one woman.
To find: The number of hours it would take for 10 women to type 200 pages.
Let's break down the problem step by step:
Step 1: Calculate the total work done by the team in 5 hours.
Since the team consists of 2 men and 3 women, the total work done by the team in 5 hours is (2 men + 3 women) x 5 hours.
Step 2: Calculate the work done by one man in one hour.
Since one man can do twice the work in one hour compared to one woman, the work done by one man in one hour is equal to the work done by two women in one hour.
Step 3: Calculate the work done by one woman in one hour.
Since the work done by one man in one hour is equal to the work done by two women in one hour, we can say that the work done by one woman in one hour is equal to one-half of the work done by one man in one hour.
Step 4: Calculate the work done by the team in 5 hours.
The total work done by the team in 5 hours is equal to the work done by 2 men in 5 hours plus the work done by 3 women in 5 hours.
Step 5: Calculate the work done by the team in one hour.
To find the work done by the team in one hour, we divide the total work done by the team in 5 hours by 5.
Step 6: Calculate the time taken by 10 women to type 200 pages.
Since we now know the work done by the team in one hour, we can calculate the time taken by 10 women to type 200 pages by dividing the total work (200 pages) by the work done by the team in one hour.
Calculations:
- Step 1: Total work done by the team in 5 hours = (2 men + 3 women) x 5 hours = 5(2 men + 3 women)
- Step 2: Work done by one man in one hour = 2 women
- Step 3: Work done by one woman in one hour = 1/2(2 women) = 1 woman
- Step 4: Total work done by the team in 5 hours = 2 men x 5 hours + 3 women x 5 hours = 10 men + 15 women
- Step 5: Work done by the team in one hour = (10 men + 15 women)/5 = 2 men + 3 women
- Step 6: Time taken by 10 women to type 200 pages = 200 pages / (2 men + 3 women)
Substituting the values:
Time taken by 10 women to type 200 pages = 200 / (2 men + 3 women) = 200 / (2(1 man) + 3(1 woman)) = 200 / (2 + 3) = 200 / 5 = 40
Therefore, it would take 10 women a total of 40 hours to type 200 pages.
Answer: Option B) 7 hours
- 2 men and 3 women are employed to type 100 pages on a computer.
- They completed the work in 5 hours.
- One man can do twice the work in one hour compared to one woman.
To find: The number of hours it would take for 10 women to type 200 pages.
Let's break down the problem step by step:
Step 1: Calculate the total work done by the team in 5 hours.
Since the team consists of 2 men and 3 women, the total work done by the team in 5 hours is (2 men + 3 women) x 5 hours.
Step 2: Calculate the work done by one man in one hour.
Since one man can do twice the work in one hour compared to one woman, the work done by one man in one hour is equal to the work done by two women in one hour.
Step 3: Calculate the work done by one woman in one hour.
Since the work done by one man in one hour is equal to the work done by two women in one hour, we can say that the work done by one woman in one hour is equal to one-half of the work done by one man in one hour.
Step 4: Calculate the work done by the team in 5 hours.
The total work done by the team in 5 hours is equal to the work done by 2 men in 5 hours plus the work done by 3 women in 5 hours.
Step 5: Calculate the work done by the team in one hour.
To find the work done by the team in one hour, we divide the total work done by the team in 5 hours by 5.
Step 6: Calculate the time taken by 10 women to type 200 pages.
Since we now know the work done by the team in one hour, we can calculate the time taken by 10 women to type 200 pages by dividing the total work (200 pages) by the work done by the team in one hour.
Calculations:
- Step 1: Total work done by the team in 5 hours = (2 men + 3 women) x 5 hours = 5(2 men + 3 women)
- Step 2: Work done by one man in one hour = 2 women
- Step 3: Work done by one woman in one hour = 1/2(2 women) = 1 woman
- Step 4: Total work done by the team in 5 hours = 2 men x 5 hours + 3 women x 5 hours = 10 men + 15 women
- Step 5: Work done by the team in one hour = (10 men + 15 women)/5 = 2 men + 3 women
- Step 6: Time taken by 10 women to type 200 pages = 200 pages / (2 men + 3 women)
Substituting the values:
Time taken by 10 women to type 200 pages = 200 / (2 men + 3 women) = 200 / (2(1 man) + 3(1 woman)) = 200 / (2 + 3) = 200 / 5 = 40
Therefore, it would take 10 women a total of 40 hours to type 200 pages.
Answer: Option B) 7 hours
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Solutions for 2 men and 3 women are employed to type 100 pages on computer. They completed the work in 5 hours. If one man can do twice work in one hour as compared to one woman, find the number of hours to type 200 pages by 10 women.a)12b)7c)6d)8.5e)10Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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