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Two inlet pipes can fill a cistern in 20 and 24 hours respectively and an outlet pipe can empty 160 gallons of water per hour. All the three pipes working together can fill the empty cistern in 40 hours. What is the capacity (in gallons) of the tank?1). 12002). 24003). 36004). 1800 |
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Answer» Let outlet pipe can empty the tank in x hrs. Given that, $(\begin{array}{l}\frac{1}{{20}} + \frac{1}{{24}} - \frac{1}{{\RM{x}}} = \frac{1}{{40}}\\\frac{1}{x} = \frac{1}{{20}} + \frac{1}{{24}} - \frac{1}{{40}} = \frac{{6 + 5 - 3}}{{120}} = \frac{1}{{15}}\END{array})$ Outlet pipe can empty the tank in 15 hrs. Given that, Outlet pipe can empty 160 GALLONS of water per hour. ⇒ Total capacity of the tank = 160?15 = 2400 gallons |
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