7. A and B can do a piece of work in 18 days Band C in 24 days and A and C in 36 days. In
what time can they do it, all working together!
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Answered by
0
(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.
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