A takes twice as much time as B or thrice as much as C to finish a piece of work. Working together, they can finish the work in 2 days.
Formula used:
Work done = time × efficiency
Calculation:
A,B and C takes x, x/2, and x/3 days respectively to finish the work.
⇒ (1/x + 2/x + 3/x) =
⇒ 6/x = 1/2
⇒ x = 6 × 2
⇒ x = 12.
∴ Time taken by B = = 6 days.
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Answers & Comments
A takes twice as much time as B or thrice as much as C to finish a piece of work. Working together, they can finish the work in 2 days.
Formula used:
Work done = time × efficiency
Calculation:
A,B and C takes x, x/2, and x/3 days respectively to finish the work.
⇒ (1/x + 2/x + 3/x) =
⇒ 6/x = 1/2
⇒ x = 6 × 2
⇒ x = 12.
∴ Time taken by B = = 6 days.