A can complete a work in 12 days, B in 15 days. Find the time taken by them. When A and B working together.Options6 2/36 1/35 2/35 1/3
Question
A can complete a work in 12 days, B in 15 days. Find the time taken by them. When A and B working together.Options6 2/36 1/35 2/35 1/3
Solution
To solve this problem, we first need to find the rate at which A and B can complete the work.
- A can complete the work in 12 days, so A's rate of work is 1/12 of the work per day.
- B can complete the work in 15 days, so B's rate of work is 1/15 of the work per day.
When A and B work together, their rates of work are added together.
So, the combined rate of A and B is 1/12 + 1/15 = 5/60 + 4/60 = 9/60 = 3/20 of the work per day.
To find the time taken by them to complete the work together, we take the reciprocal of their combined rate.
So, the time taken by A and B working together is 20/3 days = 6 2/3 days.
Therefore, the correct option is 6 2/3.
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