6. A, B and C together can do a piece of work in 15 days, B alone can do it in 30 days and C alone can do
it in 40 days. In how many days will A alone do the work?
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Answer:
Given,
(A+B+C) can do a piece of work in = 15 days
(A+B+C)’s 1 day work =
15
1
B alone can do a piece of work in = 30 days
B’s 1 day work =
30
1
C alone can do a piece of work in = 40 days
C’s 1 day work =
40
1
Step-by-step explanation:
So,
A’s 1 day work =
15
1
−
30
1
+
40
1
=
15
1
−
120
4+3
=
15
1
−
120
7
=
120
8−7
=
120
1
∴ A can do a piece of work in 120 days.
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