Ram and Rahim each working alone can do a work in 22 and 33 days respectively. They started the work together but one day Rahim left the work in between and Ram finished the remaining work in 11 days. For how many days Rahim had worked for?
OPtion
1) 6 days
2) 6.1 days
3) 6.2 days
4) 6.3 days
5) 6.4 days
6) 6.5 days
7) 6.6 days
8) 6.7 days
9) 6.8 days
10)6.9 days
Solution
Ram's one day's work=1/22
Rahim's one day's work=1/33
In 11 days Ram worked =11/22 = 1/2
So Ram and Rahim together completed 1/2 work
(Ram+Rahim)'s one day's work= (3+2)/66 = 5/66
5/66 work is done by Ram and Rahim together in 1 day
1 work is done by Ram and Rahim together in 66/5 days
1/2 work is by Ram and Rahim together in 1/2*(66/5) days = 33/5 days = 6.6 days
Option 7)
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