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Anil and Sunil can complete a job in 15 days and 20 days respectively. Both of them started it together. Anil left 6 days before the work was completed. Find the time taken (in days) to complete the work.


Options:
A .   8
B .   10
C .   12
D .   14
Answer: Option C
:
C

Let total work is LCM of (15, 20) = 60


Work done by Anil in a day = 4 units


Work done by Sunil in a day = 3 units


Anil worked for (t – 6) days and Sunil worked for t days.


4(t – 6) + 3t = 60


t = 12; Option (c).  


2nd method:- During last 6 days Sunil alone will work i.e  30%  of work will be done by Sunil alone. Remaining  70% of work will be done together. In one day both will do  (10015)+(10020)=11.67% , then 70% will complete in 6 days. Total 6+6= 12 days.Option (c).



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