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UPSC 2017 CDS I Math Paper
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© examsnet.com
Question : 30
Total: 100
If 5 men can do a piece of work in 10 days and 12 women can do the same work in 15 days, the number of days required to complete the work by 5 men and 6 women is
[2017 CDS-I]
7
1
2
days
8 days
9
1
2
days
12 days
Validate
Solution:
Let the work be W and the number of days required be n days.
Work done by 1 man in 1 day
=
W
50
Work done by 1 woman in 1 day
=
W
180
Work done by 5 men and 6 women in n days
=
W
50
×
5
×
n
+
W
180
×
6
×
n
∴
W
50
×
5
×
n
+
W
180
×
6
×
n
=
W
⇒
n
10
+
n
30
+
1
⇒
4
n
30
=
1
⇒
n
=
30
4
=
7
1
2
days
© examsnet.com
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