Question

sunil completes a work in 8 days and anil completes the same work in 4 days if they started together then in how many days they will complete the work?
a)4/3 days
b)3/8 days
c)8/3 days
d)3/4 days​

Answer 1

Answer: c.)$\frac{8}{3}$ days

Step-by-step explanation:

• Time taken by Sunil to complete a work=8 days
• Work done by Sunil in 1 day=$\frac{1}{8}$
• Time taken by Anil to complete the work=4 days
• Work done by Anil in 1 day=$\frac{1}{4}$

• If they both work together then the work will be completed in

                           $=\frac{1}{\frac{1}{8} +\frac{1}{4} }$

                          =$\frac{1}{\frac{4+8}{32} }$

                          =$\frac{1}{\frac{12}{32} }$

                          =$\frac{32}{12} }$

                         =$\frac{8}{3}$ days

• Hence,if Anil and Sunil work together then the work will be completed in $\frac{8}{3}$ days.