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Pipes and Cistern
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:
60 gallons
100 gallons
120 gallons
180 gallons
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Correct Answer:
120 gallons
Explanation:
Work done by the waste pipe in 1 minute =
1
-
❨
1
+
1
❩
15
20
24
=
❨
1
-
11
❩
15
120
= -
1
. [-ve sign means emptying]
40
∴ Volume of
1
part = 3 gallons.
40
Volume of whole = (3 x 40) gallons = 120 gallons.
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