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AFCAT II 26 AUG 2022 Shift 1 Paper
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© examsnet.com
Question : 42
Total: 100
5 men & 4 women can do a piece of work in 10 days, and 4 men & 7 women can do the same work in 8 days. Find the number of days taken by 11 women to do the same work
49
9
8
9
9
8
760
99
Validate
Solution:
👈: Video Solution
5 men
+
4
women can complete the work in 10 days.
4 women
+
7
men can do the same work in 8 days.
(
M
1
×
D
1
×
H
1
)
W
1
=
(
M
2
×
D
2
×
H
2
)
W
2
Let the efficiency of man be
M
and efficiency of woman be
W
(
5
M
+
4
W
)
×
10
=
(
4
M
+
7
W
)
×
8
⇒
50
M
+
40
W
=
32
M
+
56
W
⇒
18
M
=
16
W
⇒
M
=
(
8
9
)
W
Again, one day work of 5 men \& 4 women
5
M
+
4
W
=
1
∕
10
⇒
5
×
(
8
9
)
W
+
4
W
=
1
10
⇒
W
(
40
9
+
4
)
=
1
10
⇒
W
(
76
9
)
=
1
∕
10
⇒
W
=
9
760
Hence, one day work of 11 women
⇒
11
×
9
760
=
99
760
∴
11
women can complete the same work in
760
99
days.
© examsnet.com
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