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If 15 men take 21 days of 8 hours each to do a piece of work, then what is the number of days of 6 hours each that 21 women would take, if 3 women would as much work as 2 men? 
  • a)
    18
  • b)
    20
  • c)
    25
  • d)
    30
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
If 15 men take 21 days of 8 hours each to do a piece of work, then wha...
Since 3 women would as much work as 2 men;
Ratio of efficiencies of Man and Woman = 3 ∶ 2
Or 2M = 3W
15 men take 21 days of 8 hours each to do a piece of work, let suppose 21 women take x days of 6 hours each to do that work;
∴ (15M × 21 × 8) = (21W × 6 × x)
Putting 2M = 3W;
⇒ (15M × 21 × 8) = (14M × 6 × x)
⇒ x = 30
∴ 21 women will take 30 days of 6 hours each to do the work.
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Most Upvoted Answer
If 15 men take 21 days of 8 hours each to do a piece of work, then wha...
To solve this problem, we can use the concept of man-hours. Man-hours refer to the amount of work that can be completed by one person in one hour.

Given information:
- 15 men take 21 days of 8 hours each to do a piece of work
- 3 women do as much work as 2 men

Step 1: Calculate the total man-hours required to complete the work
Since 15 men work for 21 days and 8 hours each day, the total man-hours can be calculated as follows:
Total man-hours = 15 men * 21 days * 8 hours/day
Total man-hours = 2520 man-hours

Step 2: Convert the total man-hours to woman-hours
Since 3 women do as much work as 2 men, the ratio of woman-hours to man-hours is 3:2. We can use this ratio to calculate the woman-hours required to complete the work:
Woman-hours = (Total man-hours * 3) / 2
Woman-hours = (2520 * 3) / 2
Woman-hours = 3780 woman-hours

Step 3: Calculate the number of days required by 21 women working 6 hours each day
Let's assume that it takes x days for 21 women to complete the work.
Using the concept of woman-hours, we can set up the following equation:
21 women * x days * 6 hours/day = 3780 woman-hours

Solving for x:
21x * 6 = 3780
126x = 3780
x = 3780 / 126
x = 30

Therefore, 21 women would take 30 days of 6 hours each to complete the work.

Hence, the correct answer is option D) 30.
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If 15 men take 21 days of 8 hours each to do a piece of work, then what is the number of days of 6 hours each that 21 women would take, if 3 women would as much work as 2 men?a)18b)20c)25d)30Correct answer is option 'D'. Can you explain this answer?
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