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A tap can fill a cistern in 8 hours and another can empty itin 16 hours. If both the taps are opened simultaneously,the time in hours) to fill the tank is |
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Answer» A tap in 8 hr fill 1 partin 1 hr fill 1/8 th partIn 16 hr B empty 1 partin 1 hr empty = 1/16 th partin 1 hr both work =1/8-1/16= 2-1/16= 1/16 th part1/16 th part fill both in 1 hr 1 part (full) fill 16 hrs Time taken by tap to fill ciltren = 8 hours Time taken by tap to empty ciltren = 16 hours in 1 hr tap fill the cistern = 1/8 partIn 1 hr tap empty the cistern = 1/16 part A/Q 1/8 - 1/16 = 1/16 1 ÷ 1/16 = 16 = The cistern would be filled in 16 hours. |
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