Two inlet tubes can fill a reservoir in 40 and 48 minutes respectively and an outlet tube can empty the reservoir at the rate of 6 litres per minute. When all the three tubes are opened together, they fill the reservoir in 30 minutes. What is the capacity of the reservoir?

240 L

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400 L

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480 L

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80 L

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320 L

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Solution

The correct option is C
480 L

Work done by the outlet tube in 1 minute = $\frac{1}{30} - (\frac{1}{40} + \frac{1}{48}) = - \frac{1}{80}$

Volume of $\frac{1}{80}$ th part of the reservoir = 6 L

Volume of the reservoir = $6 \times 80$ = 480 L

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Two inlet tubes can fill a reservoir in 40 and 48 minutes respectively and an outlet tube can empty the reservoir at the rate of 6 litres per minute. When all the three tubes are opened together, they fill the reservoir in 30 minutes. What is the capacity of the reservoir?

The correct option is C 480 L Work done by the outlet tube in 1 minute = 130−(140+148)=−180 Volume of 180th part of the reservoir = 6 L Volume of the reservoir = 6×80 = 480 L

The correct option is C
480 L

Work done by the outlet tube in 1 minute = $\frac{1}{30} - (\frac{1}{40} + \frac{1}{48}) = - \frac{1}{80}$

Volume of $\frac{1}{80}$ th part of the reservoir = 6 L

Volume of the reservoir = $6 \times 80$ = 480 L