Question

if A completes a piece of work in 3 days , which 'B' completes it in 5 days and 'C' takes 10 days to complete same work .how long will they take to complete the work,if they work together?

• A. $\frac{30}{19}days$
• B. $\frac{30}{17}days$
• C. $\frac{40}{19}days$
• D. $\frac{40}{17}days$

Answer 1

Answer: (A)

$\frac{30}{19}days$

A completes work in 3 days.

B in 5 days.

C in 10 days.

Together, their work per day = $\frac{1}{3}+\frac{1}{5}+\frac{1}{10}=\frac{19}{30}$

Therefore, time taken to complete whole work together = $\frac{30}{19}=$ $days$