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Anshu takes twice as long to complete a task as Babloo does, and three times as long as Chandu does. Together, they take 3 days to finish the work. Ho
Question

Anshu takes twice as long to complete a task as Babloo does, and three times as long as Chandu does. Together, they take 3 days to finish the work. How much time does Anshu take to complete the task alone?

A.

24 days

B.

12 days

C.

3 days

D.

18 days

Correct option is D

Given:
Anshu takes twice as much time as Bablu and thrice as much time as Chandu to finish a piece of work.
Together it takes 3 days to finish the work.
Formula Used:
Efficiency = Total WorkTime\frac{\text{Total Work}}{\text{Time}}​​
Solution:
Let the efficiency of Anshu, Bablu and Chandu be A, B and C.
Ratio of time of Anshu, Bablu and Chandu = 6 : 3 : 2
Ratio of efficiency of Anshu, Bablu and Chandu = 16:13:12=1:2:3\frac{1}{6} : \frac{1}{3} : \frac{1}{2} = 1 : 2 : 3​​
Combined efficiency of them = (1 + 2 + 3) units/day = 6 units/day
Total work = 6 × 3 = 18 units
Time taken by Anshu = 181\frac{18}1​ = 18 days

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