Question

Bob travels 2500 miles in a car that consumes gas at a rate of 32 miles per gallon when he is traveling at 60 miles per hour.

a) How many gallons of gas does he use on his 2500-mile trip?
b) If he travels 2500 miles at 60 miles per hour, how long does the trip take?

Answer 1

Bob uses 78.125 gallons of gas on his 2500-mile trip at a rate of 32 miles per gallon. The trip takes approximately 41.6667 hours, or about 41 hours and 40 minutes, when traveling at 60 miles per hour.

Step-by-step explanation:

To answer the question regarding how many gallons of gas Bob uses on his 2500-mile trip, we first use the given rate of fuel consumption, which is 32 miles per gallon. To calculate the gallons used, we divide the total mileage by the miles per gallon (mpg):

1. Divide the total distance by the fuel efficiency: 2500 miles / 32 miles per gallon = 78.125 gallons

Therefore, Bob uses 78.125 gallons of gas for his trip.

Next, we'll determine how long the trip takes if Bob travels at 60 miles per hour for a distance of 2500 miles. To calculate the time, we divide the total distance by the speed:

1. Divide the total distance by the speed: 2500 miles / 60 miles per hour = 41.6667 hours

Bob's trip takes 41.6667 hours, or approximately 41 hours and 40 minutes.