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HCU MCA 2013 Paper
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© examsnet.com
Question : 13
Total: 75
3 small pumps and a large pump are filling a tank. Each of the three small pumps works at
2
3
rd the rate of the large pump. In what fraction of the time that all 4 pumps working together will fill the tank in comparison to the time taken by the large pump alone?
4
7
1
3
2
3
3
4
Validate
Solution:
(c) Let, large pump fill the tank = t min
∴ One small pump fill the tank =
3
2
×
t
=
3
2
t
∴ Three small pump fill the tank =
3
2
t
×
1
3
=
t
2
∴ 4 pumps fill the tank =
t
2
+
t
=
3
t
2
∴ Required fraction =
t
(
3
t
2
)
=
2
3
© examsnet.com
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