A tank has two filling taps, each of which can fill the tank in 160 minutes. The tank also has three emptying pipes connected to it, fixed at 1/4th, 1/2 and 3/4th of the height of the tank respectively. The efficiency of a filling tap, is twice that of an emptying pipe, and the taps and pipes are working simultaneously, from the start. How much time will it take for an empty tank to be filled?a)350/3 minutesb)400/3 minutesc)150 minutesd)500/3 minutesCorrect answer is option 'D'. Can you explain this answer?

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A tank has two filling taps, each of which can fill the tank in 160 minutes. The tank also has three emptying pipes connected to it, fixed at 1/4th, 1/2 and 3/4th of the height of the tank respectively. The efficiency of a filling tap, is twice that of an emptying pipe, and the taps and pipes are working simultaneously, from the start. How much time will it take for an empty tank to be filled?

a)
350/3 minutes
b)
400/3 minutes
c)
150 minutes
d)
500/3 minutes

Correct answer is option 'D'. Can you explain this answer?

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A tank has two filling taps, each of which can fill the tank in 160 m...

The bottom 1/4th portion of the tank will be subject to only the filling taps, hence time required to fill the bottom 1/4th portion of the tank is ¼ *160/2 = 20 mins.

The next 1/4th portion of the tank will be subject to both the filling taps and one of the emptying pipes, hence time required to fill the bottom 1/4th portion of the tank is ¼ *160/(2-1/2) = 80/3 mins.

Similarly the next 1/4th portion of the tank will be filled in ¼ *160/(2-1) = 40 mins.

The upper 1/4th portion of the tank will be filled in ¼ *160/(2-3/2) = 80 mins.

Hence total time required to fill the tank = (20 + 80/3 + 40 + 80) = 500/3 minutes.

Answered by Wizius Careers · View profile

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