Question

A and B together can do a piece of work in 10 days. B and C together can
do it in 12 days, while A and C together can do it in 15 days. C alone can
complete it in

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Answer 1

Answer:

Step-by-step explanation:

A + B)’s 1 day’s work = 1/10……(I)

(B + C)’s 1 day’s work = 1/12……(II)

(C + A)’s 1 day’s work = 1/15……(III)

On adding all the equations,

2 (A +B + C)’s 1 day’s work = 1/10 + 1/12 + 1/15 = 6+5+4/60 = 1/4

∴ (A + B + C)’s 1 day’s work = 1/8……(IV)

Now, C’s 1 day’s work = (A + B + C)’s 1 day’s work – (A + B)’s 1 day’s work

= 1/8- 1/10=5-4/40 =1/40