Select the correct answerA can complete a work in 12 days, B in 15 days. Find the time taken by them. When A and B working together.Options6 2/35 2/35 1/36 1/3
Question
Select the correct answerA can complete a work in 12 days, B in 15 days. Find the time taken by them. When A and B working together.Options6 2/35 2/35 1/36 1/3
Solution
To solve this problem, we first need to find out how much work A and B can do in one day.
A can complete the work in 12 days, so A can do 1/12 of the work in one day. B can complete the work in 15 days, so B can do 1/15 of the work in one day.
When A and B work together, they can do (1/12 + 1/15) of the work in one day.
To find this, you need to find a common denominator for 12 and 15, which is 60.
So, (1/12 + 1/15) becomes (5/60 + 4/60) = 9/60 = 1/20 of the work in one day.
Therefore, A and B working together can complete the work in 20 days.
However, none of the options provided (6 2/3, 5 2/3, 5 1/3, 6 1/3) match this answer. There might be a mistake in the question or the options provided.
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