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 1/36 2/35 2/35 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 1/36 2/35 2/35 1/3
Solution
The first step is to determine the rate at which A and B can complete the work individually.
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.
To find out how long it would take them to complete the work together, we add their rates of work 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 out how many days it would take 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 answer is 6 2/3.
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