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UPSC 2016 CDS II Math Paper
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© examsnet.com
Question : 17
Total: 100
A can do 50% more work than B in the same time. B alone can do a piece of work in 30 hours. B starts working and had already worked for 12 hours when A joins him. How many hours should B and A work together to complete the remaining work ?
[2016 CDS-II]
6 hours
12 hours
4.8 hours
7.2 hours
Validate
Solution:
B’s one hour work
=
1
30
A’s one hour work
=
1
30
+
1
2
×
1
30
=
1
20
B’s 12 hour work
=
12
×
1
30
=
2
5
Remaining work
=
1
−
2
5
=
3
5
(A + B)'s one hour work
=
1
30
+
1
20
=
1
12
Required number of hour
=
(
3
5
)
(
1
12
)
=
7.2
hours
© examsnet.com
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