A, B and C can do a piece of work in 20, 24 and 30 days respectively. All three of them begin the work together but B left 3 days before completion of the work. In how many days was the work completed?

Answers (1)

Ratio of efficiency of A,B and C is given 15:10:6
Ratio of time of A,B and C=frac115:frac110:frac16=2:3:5
A can complete the work in 2x days,B can complete the work in 3x days and C can complete the work in 5x days
According to the given question,
frac12x+frac13x+frac15x=frac125
Upon solving,we get
Rightarrow frac3130x=frac125
By cross-multiplying,we get
Rightarrow x=frac31*2530
Rightarrow x=frac1556
So ,C alone can complete the work in 5x days which is=5*frac1556=frac7756, days
 

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