Problema Solution

The number of miles per gallon of gasoline that a vehicle averages varies inversely as the average speed the car travels. A vehicle get 25 mpg at 68 mph. how many miles per gallon will it get at 78 mph?

Answer provided by our tutors

let


m = mpg of gasoline that a vehicle averages

v = the average speed of the car


m = k*(1/v)


where k is constant


for v = 68 mph we have m = 25 mph


25 = k(1/68)


k = 25*68


k = 1700


the formula now is


m = 1700*(1/v)


if v = 78 for m we have


m = 1700(1/78)


m = 21.79 mpg