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AFCAT II 2018 Solved Paper
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© examsnet.com
Question : 14
Total: 100
A and B can do a piece of work in 10 days. B and C can do it in 12 days. AandC can do it in 15 days. How long will A take to do it alone?
20 days
24 days
30 days
40 days
Validate
Solution:
👈: Video Solution
(b) (A+ B)'s 1 day's work =
1
10
(B + C)'s 1 day’s work =
1
12
(C + A)'s day's work =
1
15
On adding,
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
A's 1 day's work =
1
8
−
1
12
=
3
−
2
24
=
1
24
∴ A alone will complete the work in 24 days.
Hence option [b] is correct answer.
© examsnet.com
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