Question
If A, B and C can do a work in 6 days, 9 days and 11
days, respectively, then, working together, how many days will they take to do the work?Solution
ATQ,
A's work rate: A completes the work in 6 days, so A does 1/6 of the work in 1 day. B's work rate: B completes the work in 9 days, so B does 1/9 of the work in 1 day. C's work rate: C completes the work in 11 days, so C does 11/11 of the work in 1 day. Combined work rate: Together, they complete: 
Find the combined rate : 
Time to complete the work : To complete 1 full work, the time taken is: 
 = or 2(52/73) days
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