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.