Question : A and B can finish a work in 10 days, B and C can finish it in 12 days and C and A can finish in 6 days. In how many days A alone can finish the work?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution :
Time taken by A and B to do the work = 10 days
Let the work done by A, B, and C in a day be a, b and c units, respectively.
Work done by A and B together in a day =
⇒ a + b =
Time taken by B and C to do the work = 12 days
Work done by B and C together in a day =
⇒ b + c =
Time taken by C and A to do the work = 6 days
Work done by C and A together in a day =
⇒ c + a =
Subtracting (ii) from (i),
⇒ a – c =
⇒ a – c =
Adding equations (iii) and (iv),
⇒ 2a =
Work done by A alone in a day =
Hence, the correct answer is
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