Question

Antony can complete a work in 20 days. Meera is 25% more efficient than Antony and Shakib is 60% more efficient than Meera. How long would they take to finish the job if they work together?

• A. days
• B. days
• C. days
• D. days
• E. days

Answer 1

The correct option is D

days

Antony’s 1 day's work= $\frac{1}{20}$,

Meera’s 1 day's work=$\frac{125}{100}\times$$\frac{1}{20}=\frac{1}{16}$

Shakib’s 1 day's work= $\frac{160}{100}\times 116=\frac{1}{10}$

$\Rightarrow$ Total 1 day's work=$\frac{1}{20}+$$\frac{1}{16}+$ $\frac{1}{10}=$$\frac{17}{80}$

If they work together, work will be completed in $4\frac{12}{17}$ days.