Question

A and B can do a piece of work in 12 day B and C in 15 days and C and A in 20 days.How much time will A take alone to finish the job

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

(A + B)’s 1 day’s work = 1/12

(B + C)’s 1 day’s work = 1/15

(C + A)’s 1 day’s work = In 1/20

On adding,

2(A + B + C)’s 1 day’s work =1/12+1/15+1/20=5+4+3/60=12/60

=1/5

∴ (A + B + C)’s 1 day’s work = 1/10

∴ A’s 1 day’s work = 1/10-1/15=3-2/30

=1/30

∴ A alone will complete the work in 30 days