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20. Connie's pool has 50 cubic yards of water in it and is draining at a rate of 3 cubic yards per second. Paula's pool has 9 cubic yards of water currently in it and is filling at a rate of 4 cubic yards per second. After how many seconds will Connie's pool have less water than Paula's?

Respuesta :

write the equation for the Connie's pool and Paula's pool

Connie's

[tex]y=50-3x[/tex]

y=cubic yards of water remaining in the pool

x=time in seconds

Paula's

[tex]y=9+4x[/tex]

y=cubic yards of water in the pool

x=time in seconds

write the inequality in order for connie's pool to have less water

[tex]\begin{gathered} 50-3x<9+4x \\ \end{gathered}[/tex]

solve the inequality for x

[tex]\begin{gathered} 50-9<3x+4x \\ 41<7x \\ x>\frac{41}{7} \end{gathered}[/tex]

After 41/7 seconds Connie's pool will have less water than Paula's.

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