Question

A and B can finish a piece of work in 6 and 8 days respectively. If A and B work on alternative days, how many days will it take to complete the work (A starts the work)?

• A. 6
• B. 7
• C. 24/7
• D. 27/4
• E. 48/7

Answer 1

The correct option is D

27/4

Work done by A in a day =$\frac{1}{6}$

Work done by B in a day = $\frac{1}{8}$

Work done in two days = $\frac{1}{6}$ + $\frac{1}{8}$

= $\frac{7}{24}$

Work done in 6 days = $\frac{21}{24}$

Work remaining = $\frac{1}{8}$

Time required by A = $\frac{3}{4}$

Time required to complete the entire work = $\frac{27}{4}$days