9. Ram and Mohan together can do a work in 6 days. First Ram worked alone for 4 days. Then he left. Then Mohan completed the remaining work in 9 days. In how many days could Ram alone complete that work?
(A) 12
(B) 16
(C) 14
(D) 15
Please Explain
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Answer: 6 days
Explanation :
When ram and mohan work together , they complete a work in 4 days
Means They together can complete 1/4 th of work in one day
If ram alone can complete this work in 12 days means ram can complete 1/12th of work in one day
let's assume, mohan takes x days to complete work means he can complete 1/x work in one day
then 1/12 + 1/x = 1/4
1/4-1/12 = 1/x
then 1/x=1/6 or x=6
therefore mohan can complete work in 6 days
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