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Suppose your car averages 32 miles per gallon on the highway if your average speed is 60 miles per hour, and it averages 25 miles per gallon on the highway if your average speed is 75 miles per hour. What is the driving time for a 1500-mile trip if you drive at an average speed of 60 miles per hour? What is the driving time at 75 miles per hour? Assume a gasoline price of $2.55 per gallon. What is the gasoline cost for a 1500-mile trip if you drive at an ­average speed of 60 miles per hour? What is the gasoline cost at 75 miles per hour?

Respuesta :

Answer:

For average speed of 60 miles/hr: Time for the trip=25 hours and gasoline cost=$119.53.

For average speed of 75 miles/hr: Time for the trip=20 hours and gasoline cost=$153.

Step-by-step explanation:

Given that, the car averages 32 miles/gallon and 25 miles/gallon for the average speeds of 60 miles /hr and  75 miles/hr respectively.

As the trip is of 1500 miles, so the total distance to be covered is 1500 miles

[tex]\text{Driving time}=\frac{\text{Total distance}}{\text{Average speed}}[/tex]

For average speed= 60 miles/hr,

Driving time=1500/60=25 hours.

At this speed for covering 32 miles, the car consumes 1 gallon of gasoline.

So, for covering 1 mile, the car consumes 1/32 gallon of gasoline

For covering 1500 miles, the car consumes 1500/32=46.875 gallons of gasoline.

So, the cost of gasoline = 46.875 x 2.55= $119.53

Similarly, for the average speed = 75 miles/hr,

Driving time=1500/75=20 hours.

Quantity of gasoline consumption=1500/25=60 gallons.

Cost opf gasoline= 60 x 2.55= $153.

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