Question

Mr. Quark drove his car 314 miles in 6.5

hours. He used 12.7 gal of gas. Find
these rates:
a. miles per hour
48.3 mph
51.6 mph
b. miles per gallon
24.7 mpg
22.5 mpg
c. gallons per mile
0.07 gal/mi
0.04 gal/mi
​

Answer 1

a) 48.3 mph

b) 24.7 mpg

c) 0.04 gpm

Explanation:

a) "per" means "divided by", so "miles per hour" means "miles divided by hours":

(314 mi)/(6.5 h) = 48.3 mi/h

__

b) (314 mi)/(12.7 gal) = 24.7 mi/gal

__

c) (12.7 gal)/(314 mi) = 0.04 gal/mi

_____

Hopefully, you recognize that gallons per mile is the inverse of miles per gallon:

1/(24.7 mi/gal) = (1/24.7) gal/mi = 0.04 gal/mi