Select the correct answerA 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?Options27 days18 days35 days36 days
Question
Select the correct answerA 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?Options27 days18 days35 days36 days
Solution
To solve this problem, we first need to understand that the rate of work done by A and B together is 1 work per 6.75 days, or 1/6.75 works per day.
Similarly, the rate of work done by A alone is 1 work per 9 days, or 1/9 works per day.
The rate of work done by B alone is then the difference between the rate of work done by A and B together and the rate of work done by A alone.
So, the rate of work done by B alone is 1/6.75 - 1/9.
To find out how many days B alone will take to finish the work, we take the reciprocal of the rate of work done by B alone.
So, the number of days B alone will take to finish the work is 1 / (1/6.75 - 1/9).
Calculating this gives us approximately 18 days.
So, the correct answer is 18 days.
Similar Questions
Select the correct answerA and B together can finish a work in 5 days. If A works twice his efficiency they can finish the same work in 3 days. In how many days will A alone finish the work?Options5.4 days7.5 days6.6 days15 days
A started a work and left after working for 2 days. Then B was called and he finished the work in 9 days. Had A left the work after working for 3 days, B would have finished the remaining work in 6 days. In how many days can each of them, working alone finish the whole work?Options2.5 days, 7.5 days5 days, 15 daysNone of these5 days, 8.5 days
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