SOLUTION: Convert each rate using dimensional analysis 2.5 qt/min=___gal/h

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Question 70520: Convert each rate using dimensional analysis
2.5 qt/min=___gal/h
Found 2 solutions by stanbon, bucky:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Convert each rate using dimensional analysis
2.5 qt/min=___gal/h
2.5 qt/min (60 min/1 hr)(1 gal/4 qts)= [2.5*60*1]/[1*4](gal/hr)
=(150/4) (gal/hr)= (37.5)(gal/hr)
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Cheers,
Stan H.

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
%282.5qt%2F1min%29%2A%281gal%2F4qt%29%2A%2860min%2F1hr%29
.
read this as 2.5 quarts per minute times 1 gallon per 4 quarts times 60 minutes per hour.
.
If you multiply the numbers in the numerators and then multiply the numbers in the denominators
you have:
.
+%28%282.5%29%2A%281%29%2A%2860%29%29%2F%28%281%29%2A%284%29%2A%281%29%29=+150%2F4+=+37.5
.
Note how the dimensions work. The qts in the numerator cancel with the qts in the denominator,
and the min in the numerator cancel with the min in the denominator. All you are left with
is gal in the numerator and hr in the denominator. Therefore, the answer is 37.5 gallons per hour.