When A,B,C are work together they complete the work in 8 days.when A and C decided to do the work they complete this job in 12 days. In how many days B alone can complete the work?
Solution (By Examveda Team)
A, B and c can complete the whole work in 8.
A +B +C = 8 days --------------------------- (1)
Work rate of (A +B +C) = 100/8 = 12.5 % per day.
A and C complete the work in 12 days.
A +C = 12 days ------------------------------------------ (2)
Work Rate of (A +C) = 100/12 = 8.33% per day.
Work Rate of B,
= (A +B +C) - (A +C)
= 12.5 - 8.33 = 4.16% per day.
Therefore, B can complete the entire work alone,
= 100/4.16 = 24 days.
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24 days
4
24days
1/12-1/8=4/12*8
=1/24 means 24 days
so B alone can complete the work in 24 days
24
24