Question

Maria and two friends drove 87.5 miles and averaged 35 miles per gallon. They drove at an average speed of 50 miles per hour, and the gas cost $3.89per gallon. Find the quantities 10 that are expressed with each of these units.
a) Gallons
b) hours
c) dollars/passenger
d) feet/second
e) cents/mile

Answer 1

Answer:

a) 2.5 gallons

b) 1.75 hours

c) $3.24/passenger

d) 73.33 feet/second

e) 11.11 cents/mile

Step-by-step explanation:

a) Gallons  - amount of gas used:

$A = \frac{1\ gallon}{35\ miles}*87.5\ miles\\ A=2.5\ gallons$

b) hours  - time spent on the trip

$B = \frac{1\ hour}{50\ miles}*87.5\ miles\\ B=1.75\ hours$

c) dollars/passenger  - amount spent per passenger on gas

$C =\frac{\ 3.89}{gallon}*2.5\ gallon*\frac{1}{3\ passengers} \\ C=\ 3.24\ /passenger$

d) feet/second  - average speed of the trip

$D=\frac{50\ miles}{hour}*\frac{hour}{3,600\ seconds}*\frac{5,280\ feet}{mile}\\ D=73.33\ feet/ second$

e) cents/mile - money, in cents, spent per mile traveled

$E =\frac{\ 3.89}{gallon}*\frac{100\ cents}{\ } *2.5\ gallon*\frac{1}{87.5\ miles} \\ E=11.11\ cents /mile$