Jack alone can complete a work in 12 days and Jill alone can complete the same work in 24 days. In how many days can Jack and Jill together complete the same work?6 days4 days10 days8 daysNone
Question
Jack alone can complete a work in 12 days and Jill alone can complete the same work in 24 days. In how many days can Jack and Jill together complete the same work?6 days4 days10 days8 daysNone
Solution 1
To solve this problem, we first need to find out how much work Jack and Jill can do in one day.
- Jack can complete the work in 12 days, so in one day, he can do 1/12 of the work.
- Jill can complete the work in 24 days, so in one day, she can do 1/24 of the work.
When they work together, we can add up the amount of work they can do in one day.
So, the total work they can do in one day is (1/12 + 1/24) = 1/8 of the work.
Therefore, Jack and Jill together can complete the work in 8 days.
Solution 2
To solve this problem, we first need to find out how much work Jack and Jill can do in one day.
- Jack can complete the work in 12 days, so in one day, he can do 1/12 of the work.
- Jill can complete the work in 24 days, so in one day, she can do 1/24 of the work.
When they work together, we can add up the amount of work they can do in one day.
So, the total work they can do in one day is (1/12 + 1/24) = 1/8 of the work.
Therefore, Jack and Jill together can complete the work in 8 days. So, the answer is 8 days.
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