A and B together can finish a work in 6.75 days. A alone can finish the same work in 9 days. In how many days will B alone finish the work?Options18 days27 days35 days36 days
Question
A and B together can finish a work in 6.75 days. A alone can finish the same work in 9 days. In how many days will B alone finish the work?Options18 days27 days35 days36 days
Solution
To solve this problem, we first need to find out how much work A and B can do together in one day, and how much work A can do alone in one day.
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A and B together can finish the work in 6.75 days. So, the amount of work they can do in one day is 1/6.75.
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A alone can finish the work in 9 days. So, the amount of work A can do in one day is 1/9.
Now, to find out how much work B can do in one day, we subtract the work done by A from the work done by A and B together.
So, the amount of work B can do in one day is (1/6.75) - (1/9).
To find out how many days B will take to finish the work alone, we take the reciprocal of the work B can do in one day.
Let's calculate:
Work done by A and B together in one day = 1/6.75 = 0.1481 (approx) Work done by A alone in one day = 1/9 = 0.1111 (approx) Work done by B alone in one day = 0.1481 - 0.1111 = 0.037 (approx)
So, B will take 1/0.037 = 27 days (approx) to finish the work alone.
Therefore, the answer is 27 days.
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