16 taps are fitted to a water tank. Some of them
are water taps to fill the tank and the
remaining are outlet tap used to empty the
tank. Each water tap can fill the tank in 6 hrs
and each outlet tap can empty it in 18 hrs. On
openening all the taps, the tank is filled in 12
hrs. Find the number of water taps.
Answers
Answer will come into fraction you need to round up the no. Of taps
Mistake in data
Step-by-step explanation:
Number of inlet taps = X
then Number of outlet Taps = 16 - x
Each water Tap fill in 6 hrs
=> x water tap fill in 6/x hrs
=> filled in 1hr by x taps = x/6
Each outlet tap can empty in 18 hrs
=> 16 -x Taps can empty in 18/(16 - x) Hr
filled in 1hr by 16-x taps = (16-x)/18
Tank is filled in 12 hrs
Tank filled in 1 hrs = 1/12
=> x/6 - (16 - x)/18 = 1/12
multiplying by 36 both sides
=> 6x - 2(16 - x) = 3
=> 6x - 32 + 2x = 3
=> 8x = 35
=> x = 35/8
x should be integer
Mistake in data
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