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5 men can complete a work in 2 days, 4 women can complete it in 3 days and 5 children can complete it in 3 days. In how many days can 1 man, 1 woman and 1 child complete it working together?
Correct answer is '4'. Can you explain this answer?
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Most Upvoted Answer
5 men can complete a work in 2 days, 4 women can complete it in 3 days...
Work done by one man in 2 days = 1/5
Work done by one man in one day = 1/(5*2) = 1/10
Work done by one woman in one day = 1/(4*3) = 1/12
Work done by one child in one day = 1/(5*3) = 1/15
Work done by one man, one child and one woman in one day
= 1/10+1/12+1/15 = (6+5+4)/(5*2*2*3 )
=15/(15*4) = 1/4
They will take 4 days to complete the work.
Work done by one man in one day = 1/(5*2) = 1/10
Work done by one woman in one day = 1/(4*3) = 1/12
Work done by one child in one day = 1/(5*3) = 1/15
Work done by one man, one child and one woman in one day
= 1/10+1/12+1/15 = (6+5+4)/(5*2*2*3 )
=15/(15*4) = 1/4
They will take 4 days to complete the work.
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Community Answer
5 men can complete a work in 2 days, 4 women can complete it in 3 days...
- Given Information:
5 men can complete a work in 2 days, 4 women can complete it in 3 days, and 5 children can complete it in 3 days.
- Calculating the work rate of each group:
From the given information, we can calculate the work rate of each group as follows:
- Work rate of 1 man = 1/(5*2) = 1/10
- Work rate of 1 woman = 1/(4*3) = 1/12
- Work rate of 1 child = 1/(5*3) = 1/15
- Calculating the work rate of 1 man, 1 woman, and 1 child working together:
When 1 man, 1 woman, and 1 child work together, their combined work rate can be calculated by adding up their individual work rates:
1/10 + 1/12 + 1/15 = 37/60
- Calculating the time taken for 1 man, 1 woman, and 1 child to complete the work:
Now, to find the number of days it will take for 1 man, 1 woman, and 1 child to complete the work together, we use the formula:
Time = Total work / Combined work rate
Time = 1 / (37/60) = 60/37 ≈ 1.62 days
- Conclusion:
Therefore, 1 man, 1 woman, and 1 child working together can complete the work in approximately 1.62 days. Since the answer needs to be an integer value, we round this up to the nearest whole number, which is 2. Hence, the correct answer is 2 days.
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5 men can complete a work in 2 days, 4 women can complete it in 3 days and 5 children can complete it in 3 days. In how many days can 1 man, 1 woman and 1 child complete it working together?Correct answer is '4'. Can you explain this answer?
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