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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. What is the time taken by Anshu to finish the work?
1. 24 days
2. 18 days
3. 3 days
4. 12 days

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Correct Answer - Option 2 : 18 days

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 work/Time

Calculations:

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 = 1/6 : 1/3 : 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 = 18/1 = 18 days

∴ The time taken by Anshu to finish the work is 18 days.

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