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30 women complete the 2/5th work in 40 days working 6 hours each day. If 10 women leave, in how many days the remaining work will get completed if now they work for 10 hours each day?
- a)62
- b)58
- c)54
- d)70
- e)45
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
30 women complete the 2/5th work in 40 days working 6 hours each day. ...
C) 54
Explanation: 30*40*6*(3/5) = 20*D2*8*(2/5)
D2 = 54
Explanation: 30*40*6*(3/5) = 20*D2*8*(2/5)
D2 = 54
Most Upvoted Answer
30 women complete the 2/5th work in 40 days working 6 hours each day. ...
Let's break down the problem into smaller steps to solve it easily:
Step 1: Calculate the total work
Since 30 women complete 2/5th of the work in 40 days, we can find the total work as follows:
Total work = (30 women) * (2/5) = 12 women
Step 2: Calculate the work done per day
Since the 30 women work for 40 days, we can calculate the work done per day as follows:
Work done per day = Total work / Number of days
Work done per day = 12 women / 40 days = 3/10 women per day
Step 3: Calculate the work done in 1 hour
Since the women work for 6 hours each day, we can calculate the work done in 1 hour as follows:
Work done in 1 hour = Work done per day / Number of hours
Work done in 1 hour = (3/10) women per day / 6 hours = 1/20 women per hour
Step 4: Calculate the remaining work
Since 10 women leave, the remaining work is given by:
Remaining work = Total work - Work done by the 20 women
Remaining work = 12 women - (20 women * 1/20 women per hour * 6 hours per day)
Remaining work = 12 women - (20/20) women
Remaining work = 12 - 1 = 11 women
Step 5: Calculate the number of days needed to complete the remaining work
Since the remaining work is 11 women and the 20 women work for 10 hours each day, we can calculate the number of days needed to complete the remaining work as follows:
Number of days = Remaining work / (Work done in 1 hour * Number of hours per day)
Number of days = 11 women / (1/20 women per hour * 10 hours per day)
Number of days = 11 women / (1/2 women per day)
Number of days = 11 women * 2 women per day
Number of days = 22 days
Therefore, the remaining work will get completed in 22 days if the women work for 10 hours each day.
Step 1: Calculate the total work
Since 30 women complete 2/5th of the work in 40 days, we can find the total work as follows:
Total work = (30 women) * (2/5) = 12 women
Step 2: Calculate the work done per day
Since the 30 women work for 40 days, we can calculate the work done per day as follows:
Work done per day = Total work / Number of days
Work done per day = 12 women / 40 days = 3/10 women per day
Step 3: Calculate the work done in 1 hour
Since the women work for 6 hours each day, we can calculate the work done in 1 hour as follows:
Work done in 1 hour = Work done per day / Number of hours
Work done in 1 hour = (3/10) women per day / 6 hours = 1/20 women per hour
Step 4: Calculate the remaining work
Since 10 women leave, the remaining work is given by:
Remaining work = Total work - Work done by the 20 women
Remaining work = 12 women - (20 women * 1/20 women per hour * 6 hours per day)
Remaining work = 12 women - (20/20) women
Remaining work = 12 - 1 = 11 women
Step 5: Calculate the number of days needed to complete the remaining work
Since the remaining work is 11 women and the 20 women work for 10 hours each day, we can calculate the number of days needed to complete the remaining work as follows:
Number of days = Remaining work / (Work done in 1 hour * Number of hours per day)
Number of days = 11 women / (1/20 women per hour * 10 hours per day)
Number of days = 11 women / (1/2 women per day)
Number of days = 11 women * 2 women per day
Number of days = 22 days
Therefore, the remaining work will get completed in 22 days if the women work for 10 hours each day.
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