in a water refilling station the time that a pipe takes to fill a tank is 10 minutes more than the times that another pipe takes to fill thesame tank. if the two pipes are opened at the same time, they can fill the tank in 12 minutes. how many minutes does each pipe take to fill the tank?
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in a water refilling station the time that a pipe takes to fill a tank is 10 minutes more than the times that
Verified answer
Answer: 20 minutes and 30 minutes for the first pipe.
Step-by-step explanation:
Let x be the time for the pipe.
Let x+10 be the time for the another pipe.
1/x + 1/x+10 =1/12
12x(x+10) (1/x + 1/x+10)= 12x (x+10) (1/12)
12(x+10) +12x = x(x+10)
12x+120+12x=x²+10x
24x+120=x²+10x
x²-14x-120=0
(x-20) (x+6)
x-20=0 ; x+6 = 0
x=20 ; x= -6 (never mind the negative solution)
So x=20. It takes 20 minutes, thus for another pipe that is x+10, so 20+10 = 30
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