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A Chinese restaurant has a large goldfish pond. Suppose that an inlet pipe and a hose together can fill the pond in 2 hours. The inlet pipe alone can complete the job in one hour less time than the hose alone. Find the time that the hose can complete the job alone and the time that the inlet pipe can complete the job alone. 

 Mar 17, 2020
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1/x   +   1/(x-1)   =   1/2

 

x-1  +    x    = 1/2 (x )(x-1)

2x-1  =  1/2x^2  - 1/2 x

0 = 1/2 x^2 - 2.5x +1     Use quadratic formula to find

 

X= 4.56 HOURS        AND     3.56 HOURS     

 Mar 17, 2020

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