The efficiency of A, B, and C is 2:3:5 . A alone can complete a work in 50 days. They all work together for 5 days and then C left the work, in how many days A and B together can complete the remaining work ?
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Efficiency ratio of A,B,and C is 2:3:5
Let in 1day work done by A =2x , B =3x , C= 5x.
Let amount of work = w
A will complete the work in w/2x days.
B will complete the work in w/3x days .
w/2x –w/3x =20
w/e (1/2–1/3)=20
w/e = 20×6=120……….(1)
If they work together in 1 day work done =2x+3x+5x =10x
Total work will complete in w/10x days =(w/e)×(1/10) days =120×1/10 days
Total work will complete in w/10x days=12 days
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