9. A and B complete a piece of work in 24 days. B and C do the same work in 36 days; and A,B and C
together finish it in 18 days. In how many days will A alone complete the work?
In how many days will C alone complete the work?
In how many days will A and C to
gether complete the work?
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Answers
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Answer:
(A+B+C)'s 1 day's work =
18
1
(A+B)'s 1 day's work =
24
1
(B+C)'s 1 day's work =
36
1
∴ (A+C)'s 1 day's work=(2×
18
1
)−(
24
1
+
36
1
)
⇒(
9
1
)−(
72
3+2
)
⇒(
9
1
−
72
5
)
⇒(
72
8−5
)
⇒
72
3
=
24
1
so A and C together will do the work in 24 days.
Step-by-step explanation:
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