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A and B together can finish a work in 10 days, B and C together can finish the same work in 15 days, and A and C together can finish the same work in 20 days. In how many days can c alone finish the same work?

A and B together can finish a work in 10 days, B and C together can finish the same work in 15 days, and A and C together can finish the same work in 20 days. In how many days can c alone finish the same work? Correct Answer 120

Concept Used:

If a person can do a task in x days then in 1 day work will be complete 1/x part

Calculation:

1/A + 1/B = 1/10

1/B + 1/C = 1/15

1/A + 1/C = 1/20

Then,

⇒ 1/A - 1/C = 1/30

Solving,

⇒ 1/C = 1/120

∴ In 120 days, C alone can finish the work.

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