alexaq
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A hose fills a tank at a rate of 20 gallons per minute. What is the rate in liters per hour? (1 gallon ≈≈ 3.79 liters) Enter your answer in the box. L/h

Please help!

My work: 20 gallons/ 1 minute * 1 hour/1 liters * 60minutes/1hr = 1200/1
(I seriously have no clue if this is right, or wrong, or how to get the correct answer! A step by step answer would be great, I'd really like to know how to get the right answer.)

Respuesta :

caylus
Hello,

[tex] \dfrac{20 \ gallons}{1\ min} = \dfrac{3.79*20\ l}{ \frac{1}{60}\ h}\\ =\dfrac{3.79*20*60\ l}{ 1\ h } =4548\ l/h[/tex]

For this case, the first thing we must take into account are the following conversions:

 [tex] 1 gallon = 3.79 liters [/tex]

[tex] 1 hour = 60 minutes [/tex]

Then, we apply the conversions step by step.

To transform to liters per minute we have:

 [tex] (20\frac{gal}{min}) * (3.79\frac{L}{gal}) = 75.8\frac{L}{min} [/tex]

Then, we convert the result in liters per hour.

We have then:

 [tex] (75.8\frac{L}{min}) * (60)\frac{min}{h} = 4548\frac{L}{h} [/tex]

Answer:

the rate in liters per hour is:

4548

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