Question

A is 25% more efficient than B. If A and B can complete the work together in $\frac{80}{9}$ days, then in how many days can A complete the same work?

• A. 18
• B. 12
• C. 10
• D. 14
• E. 16

Answer 1

The correct option is E

16

Let the time taken by A to complete work is x days.

The time taken by B to complete the work 1.25x days.

$\frac{1}{x}+\frac{1}{1.25x}=\frac{9}{80}$

$x=16days$