Officials begin to release water from a full man-made lake at a rate that would empty the lake in 14 weeks, but a river that can fill the lake in 20 weeks is replenishing the lake at the same time. How many weeks does it take to empty the lake? Express your answer as a fraction reduced to lowest terms, if needed. weeks

Empty rate = 1/18 job/week

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Fill rate = 1/25 job/week

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Together rate: 1/x

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Equation:

rate - rate = together rate

1/18 - 1/25 = 1/x

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Multiply thru by 18*25x

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25x - 18x = 18*25

7x = 18*25

x = 64.29 weeks (time required to empty)

5x+10 is the correct one

hope this

ruth is 6 years old

step-by-step explanation:

6 + 24 = 30,   so 6/30 = .2  

if you do 1/5 it also equals .2, so that is the answer.