SSC Sample Paper Mock Test-16 SSC CGL Tear-II Paper-1

Ram and Shyam together can do a work in 8 days. Both them began to work. After 3 days Ram fell ill. Shyam completed the remaining work in 15 days. In how many days can Ram complete the whole work?

A) 17

B) 12

C) 15

D) 13

Correct Answer: B

Solution :

Work of Ram and Shyam for 1 day \[=\frac{1}{8}\]

Work of Ram and Shyam for 3 days \[=\frac{3}{8}\]

\[\therefore \] Remaining work \[1-\frac{3}{8}=\frac{5}{8}\]

\[\because \]\[\frac{5}{8}\]work is done by Shyam in 15 days

\[\therefore \]1 work is done by Shyam \[=15\times \frac{8}{5}=24\,\,\text{days}\]

\[\therefore \]Work of Shyam for 1 day \[=\frac{1}{24}\]

\[\therefore \]Work of Ram for 1 day \[=\frac{1}{8}-\frac{1}{24}=\frac{1}{12}\]

Hence, Ram alone will complete the work in 12 days.