(c) Two pipes can fill the cistem in 10 hours and 12 hours respectively, while the third empty it in 20 hours If all pipes are opened simultaneously, then in how many hours the cistem will be filled?
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Answer:The cistern will be filled in 7 hours 30 minutes.
Step-by-step explanation:
Let the capacity of the tank be LCM(10,12,20)= 120 units
Efficiency of pipe A =12 units (filling the cistern)
Efficiency of pipe B =10 units (filling the cistern)
Efficiency of pipe C = 6 units (emptying the cistern)
Total parts of the tank filled in an hour 12+10-6=16 units
Hence the time taken to fill in the tank is 120/16=15/2 =7.5hrs
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