The distance between Omaha and Lincoln is 50 miles. Justin drives a car that gets 30 miles per gallon of gas, and Kayla drives a car that gets 20 miles per gallon. How many more gallons of gas does Kayla use on a round trip from Omaha to Lincoln?
A. 1
B. 1 2/3
C. 2 2/3
D. 3
E. 5
The OA is B.
I'm confused with this PS question. Experts, any suggestion? I'm not sure why that is the correct question. Thanks in advance.
Hi LUANDATO,
Let's take a look at your question.
The distance between Omaha and Lincoln is 50 miles, therefore, to take a round trip Justin and Kayla have to cover a distance of 100 miles.
Justin drives a car that gets 30 miles per gallon of gas, Let's find the number of gallons it consumes for 100 miles.
For 30 miles Jason's car consumes gas = 1 gallon
For 1 mile Jason's car consumes gas = 1/30 gallon
For 100 miles Jason's car consumes gas = 100 * (1/30) gallons = 100/30 = 10/3 gallons
Similarly, we will find the number of gallons Kayla's car consumes for covering a distance of 100 miles.
For 20 miles Kayla's car consumes gas = 1 gallon
For 1 mile Kayla's car consumes gas = 1/20 gallon
For 100 miles Kayla's car consumes gas = 100 * (1/20) gallons = 100/20 = 5 gallons
We are asked to find how many more gallons of gas does Kayla use on a round trip from Omaha to Lincoln, so we will subtract the consumption of both the cars.
$$=\ 5-\frac{10}{3}$$
$$=\ \frac{15-10}{3}$$ $$=\ \frac{15-10}{3}=\frac{5}{3}=1\ \frac{2}{3}\ gallons$$
Therefore, Option
B is correct.
Hope it helps.
I am available if you'd like any follow up.
