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Two pipes can fill a tank in 40 and 48 minutes respectively and a waste pipe can empty 3 gallons per minutes. All the three pipes working together can fill the tank in 30 minutes, The capacity of the tank is-

a) 60 gallons
b) 120 gallons
c) 180 gallons
d) 240 gallons

Answer: d
Explanation: Work done by the waste pipe in 1 minute
$$\eqalign{ & {\text{ = }}\frac{1}{{30}} – \left( {\frac{1}{{40}} + \frac{1}{{48}}} \right) \cr & = \left( {\frac{1}{{30}} – \frac{{11}}{{220}}} \right) \cr & = – \frac{1}{{80}}\left[ { – \,{\text{Nagetive sign means emptying}}} \right] \cr & {\text{Volume of }}\frac{1}{{80}}{\text{ part = 3 galons}} \cr & {\text{Volume of whole tank}} \cr & {\text{ = }}\left( {3 \times 80} \right){\text{gallons}} \cr & {\text{ = 240 gallons}}{\text{}} \cr} $$

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