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Q2. Tap A can fill a tank in 12 hours, whiletap B can empty the full tank in 16 hours.If both taps are open together, how longwill it take to fill an empty tank?48 hours50 hours46 hours51 hours |
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Answer» →Let, the total volume of the tank be x litres.In case of first tap,in 12 hrs, it supplies x litres of WATER→So, in 1 hr it supplies x/12 litres of waterAnd, in case of 2ND tap,in 10 hrs, it REMOVES x/2 litres of waterIn 1 hr, it removes x/20 litres of water→Therefore after 1 hr the ultimate amount of water remaining in the tank, when both the taps are on..=X/12-X/20.=x/30→Let the required number of hours be YThen (x/30) × Y=X→Y=30 hrs hope it HELPS you :) |
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