##### SOMDUTT

#### Math

#####

**Question**

If A and B can do a piece of work in 15 days . B and C do same work in 10 days . If A do this work for 5 days then B do this for 9 days after that C does remaining work in 8 days then in how many days C can complete whole work.

18-08-17

**Answer**

Answer

A+B one day work is=1/15

B+C on day work is=1/10

A+B worked for 5 days , total work in 5 days will be=5*(1/15)=1/3

B+C worked for 9 days But B already worked with A for 5 days , 4 days are remaining therefore total work in 4 days( not 9 day) will be=4*(1/10)=2/5

Total work done by A+B+C=1/3+2/5 =11/15

Remaining work will be = 1-(11/15) =4/15

Now, C work for 8 days , as C already worked with B for 4 days , 4 days are remaining

C will complete whole work in = 4*(15/4) = 15 days

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