A and B can do a work in 12 days, B and C can do it in 15 days and C a

1.	A and B can do a work in 12 days, B and C can do it in 15 days and C and A can do it in 20 days. If A, B and C work together, then they will complete the same work in:1. 14 days2. 12 days3. 5 days4. 10 days
Answer» Correct Answer - Option 4 : 10 days Given: A and B can do a work in 12 days. B and C can do it in 15 days C and A can do it in 20 days Calculation: Work done by A and B in 1 day = 1/12 ….(i) Work done by B and C in 1 day = 1/15 ….(ii) Work done by C and A in 1 day = 1/20 ….(iii) Adding (i), (ii) and (iii) we get Work done by 2(A + B + C ) = 1/12 + 1/15 + 1/20 ⇒ (5 + 4 + 3)/60 = 12/60 = 1/5 ⇒ Work done by 1 × (A + B + C ) = (1/5) × 1/2 ⇒ Work done by A, B & C in 1 day = 1/10. ∴ A, B and C together can complete the work in 10 days

A and B can do a work in 12 days, B and C can do it in 15 days and C and A can do it in 20 days. If A, B and C work together, then they will complete the same work in:1. 14 days2. 12 days3. 5 days4. 10 days

Answer» Correct Answer - Option 4 : 10 days

Given:

A and B can do a work in 12 days.

B and C can do it in 15 days

C and A can do it in 20 days

Calculation:

Work done by A and B in 1 day = 1/12 ….(i)

Work done by B and C in 1 day = 1/15 ….(ii)

Work done by C and A in 1 day = 1/20 ….(iii)

Adding (i), (ii) and (iii) we get

Work done by 2(A + B + C ) = 1/12 + 1/15 + 1/20

⇒ (5 + 4 + 3)/60 = 12/60 = 1/5

⇒ Work done by 1 × (A + B + C ) = (1/5) × 1/2

⇒ Work done by A, B & C in 1 day = 1/10.

∴ A, B and C together can complete the work in 10 days

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