Question

Three taps a,b and c can fill an overhead tank in 6 hours, 8 hours and 12 hours respectively. How long would the three taps take to fill empty tank. If all of them are opened together

Answer 1

tap a fill in 6hour
tap b fill in 8 hour
tap c fill in 12 hour

tap a fill in 1hour =1/ 6 of the tank
tap b fill in 1 hour= 1/8 of the tank
tap c fill in 1 hour= 1/ 12 of the tank

all the tank together in 1 hour will fill= 1/6.+1/8+1/12=9/24of the tank.

so, if in 9/24 of the tank is filled in one hour
so, to fill the tank fully it will take= 1 divide by9/24.


so, the time taken. to fill the tank when all tap are open together= 24/9 or8/3or2.66hour

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Answer 2

Above answer is great BUDDIOS