1.

A and B can complete a piece of work in 14 days, B and C can complete it, in 28 days, C and A can complete it, in 56 days, they start the work together then find number of days to complete the work.1. 18 days2. 16 days3. 15 days4. 24 days5. None of these

Answer» Correct Answer - Option 2 : 16 days

Given:

A and B together can complete work = 14 days

B and C together can complete work = 28 days

C and A together can complete work = 56 days

Concept:

Total work = Time × Efficiency

Calculation:

Work done by

Time taken

(in day)

Efficiency

A + B

14

56/14 = 4

B + C

28

56/28 = 2

C + A

56

56/56 = 1

Total work = L. C. M. = 56

 

Efficiency of A, B and C together = (4 + 2 + 1)/2 = 7/2 unit

Let, Together A, B and C complete the work in x days

Then, x = 56/(7/2)

⇒ (56 × 2)/7 = 16 days

A, B and C together complete the work in 16 days.



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