# A, B and C can complete a work in 5, 7 and 35 hours, respectively. At

| A, B and C can complete a work in 5, 7 and 35 hours, respectively. At the most only one person can work in each hour and nobody can work for two consecutive hours. Find the minimum number of hours that they will take to finish the work?

A. hours

B. 8 hours

C. hours

D. hours

### Right Answer is: D

#### SOLUTION

Let the total work be 35. Now efficiencies of A, B and C are 7, 5 and 1 respectively.

To complete the work in minimum hours, the most efficient should start the work

So A will start and will be followed by B and C respectively.

So work done in first 7 hours = 13 2 + 7 =33

The remaining work will be done by B

so required time = 2/5 hours

Hence time taken to complete the work in minimum hours = 7 + 2/5 = hours

Share

A, B and C can complete a work in 5, 7 and 35 hours, respectively. At