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M and N together can complete a job in 4 days, while only N can complete the same work in 6 days. Then find the no.of days taken by M alone to complete 50% of the work ?Report Question
- a)8
- b)3
- c)4
- d)6
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
M and N together can complete a job in 4 days, while only N can comple...
Assume total work = LCM of 4 & 6 = 12 units
Efficiency of M&N; = 12/4 = 3
Efficiency of N = 12/6 = 2
Efficiency of M = 3 - 2 = 1
Hence only M can complete 50% of work i,e; 12/2=6 units of work in 6/1 = 6 days
So the answer is option D.
Most Upvoted Answer
M and N together can complete a job in 4 days, while only N can comple...
Given Information:
- M and N together can complete a job in 4 days
- N alone can complete the same work in 6 days
Calculating Work Rates:
To calculate the work rates of M and N, we use the formula:
Work Rate = 1 / Time Taken
- Work rate of M and N together = 1/4
- Work rate of N alone = 1/6
Let the work rate of M alone be x.
Therefore, work rate of M and N together = work rate of M alone + work rate of N alone
1/4 = x + 1/6
Solving the above equation, we get:
x = 1/4 - 1/6
x = 1/12
So, the work rate of M alone is 1/12.
Finding the Number of Days:
To find the number of days taken by M alone to complete 50% of the work, we use the formula:
Number of days = Total work / Work Rate
Since M alone completes 1/12 of the work in a day, to complete 50% of the work, M will take:
Number of days = 0.5 / (1/12)
Number of days = 6
Therefore, M alone will take 6 days to complete 50% of the work. Hence, option D is correct.
- M and N together can complete a job in 4 days
- N alone can complete the same work in 6 days
Calculating Work Rates:
To calculate the work rates of M and N, we use the formula:
Work Rate = 1 / Time Taken
- Work rate of M and N together = 1/4
- Work rate of N alone = 1/6
Let the work rate of M alone be x.
Therefore, work rate of M and N together = work rate of M alone + work rate of N alone
1/4 = x + 1/6
Solving the above equation, we get:
x = 1/4 - 1/6
x = 1/12
So, the work rate of M alone is 1/12.
Finding the Number of Days:
To find the number of days taken by M alone to complete 50% of the work, we use the formula:
Number of days = Total work / Work Rate
Since M alone completes 1/12 of the work in a day, to complete 50% of the work, M will take:
Number of days = 0.5 / (1/12)
Number of days = 6
Therefore, M alone will take 6 days to complete 50% of the work. Hence, option D is correct.
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M and N together can complete a job in 4 days, while only N can complete the same work in 6 days. Then find the no.of days taken by M alone to complete 50% of the work ?Report Questiona)8b)3c)4d)6Correct answer is option 'D'. Can you explain this answer?
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