Question 69

A,B and C together can finish a task in 7.5 days. C is thrice as productive as A and B alone can do the task in 15 days. In how many days can A and C do the job if B goes on leave?

Solution

Let work done by B be a units per day 
Now therefore total work = 15a 
Now ABC does the work in 7.5 days 
so thet do 15a/7.5 = 2a units of work per day 
Now B does a units of work in a day
so A and C does a units of work in 1 day 
Now total work =15a
A and C together does a units in 1 day
so they will complete 15a units of work in 15a/a = 15 days


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