Respuesta :

Answer:

(65 mi/hr)(45 min)(1 hr/60 min) = 48.75 mi  (the hours and minutes cancel out)

(48.75 mi / 25 mi/gal) = 1.95 gal

Step-by-step explanation:

Answer:

A car having a mileage of 25 miles per gallon, require 1.95 gallons for travelling 45 minutes at speed of 65 mph.

Solution:

Let’s first calculate distance travelled by car.  

Given that car travelled for 45 minutes at speed of 65mph

time is given in minutes while speed is given in mph that is miles per hour.

So let’s convert time from minutes to hours

60 minutes is equal to 1 hour

So 1 minute is equal to ([tex]\frac{1}{60}[/tex]) hours

45 minutes = [tex]45 \times \frac{1}{60}[/tex] hours = [tex]\frac{45}{60}[/tex] = [tex]\frac{3}{4}[/tex] = 0.75 hours

Distance = Speed x time = 65 x 0.75 = 48.75 miles

So distance covered by car is 48.75 miles

So now we need to calculate gallons of required for covering 48.75 miles

From given information

For 25 miles, quantity of gas required = 1 gallon

So for 1 mile, quantity of gas required is = ([tex]\frac{1}{25}[/tex]) gallons

And for 48.75 miles, quantity of gas required is ([tex]\frac{1}{25}[/tex]) x 48.75 = 1.95 gallons

Hence a car having a mileage of 25 miles per gallon, require 1.95 gallons for travelling 45 minutes at speed of 65 mph.