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A pump can fill a 750-gallon tank in 35 minutes. How long will it take to fill a 1000-gallon tank with this same pump?

Respuesta :

750 gallon = 35 minute

1 gallon = 35/750 min.

1000 gallon = 35/750 * 1000 min.

  = 140/3 minutes

So it would be about 2 hours and 20 minutes!


[tex]750 \text {-gallon tank} \longrightarrow 35 \text { minutes}[/tex]


[tex]1 \text {-gallon tank} \longrightarrow 35 \div 750 \text { minutes}[/tex]

[tex]1 \text {-gallon tank} \longrightarrow \dfrac{1}{150} \text { minutes}[/tex]


[tex]1000 \text {-gallon tank} \longrightarrow \dfrac{7}{150} \times 1000 \text { minutes}[/tex]

[tex]1000 \text {-gallon tank} \longrightarrow \dfrac{7000}{150} \text { minutes}[/tex]

[tex]1000 \text {-gallon tank} \longrightarrow \dfrac{140}{3} \text { minutes}[/tex]

[tex]1000 \text {-gallon tank} \longrightarrow 46\dfrac{2}{3} \text { minutes}[/tex]


[tex] 46\dfrac{2}{3} \text { minutes} \longrightarrow 46 \text { minutes and } 40 \text { seconds} [/tex]