A car is traveling at a speed of 44 feet per second. What is the car’s speed in miles per hour? How many miles will the car travel in 4 hours? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers

Respuesta :

3600 seconds per hour

44 * 3600 = 158400 feet per hour

158400 / 5280 = 30 miles per hour

30 * 4 = 120 miles

Answer:

The speed of car is 30 miles per hour.

The car traveled 120 miles in 4 hours.

Step-by-step explanation:

We have been given that a car is traveling at a speed of 44 feet per second. We are asked to find car's speed in miles per hour.

[tex]\frac{\text{44 ft}}{\text{ second}}[/tex]

We know 1 mile equals 5280 feet.

[tex]\frac{\text{44 ft}}{\text{ second}}\times \frac{1\text{ mile}}{\text{5280 ft}}[/tex]

We know that 1 hour equal 3600 seconds.

[tex]\frac{\text{44 ft}}{\text{ second}}\times \frac{1\text{ mile}}{\text{5280 ft}}\times  \frac{3600\text{ seconds}}{\text{1 hour}}[/tex]

[tex]\frac{44\text{ mile}}{5280}\times  \frac{3600}{\text{ hour}}[/tex]

[tex]\frac{158400\text{ mile}}{5280\text{ hour}}[/tex]

[tex]\frac{30\text{ mile}}{\text{ hour}}[/tex]

Therefore, the speed of car is 30 miles per hour.

To find the distance traveled by car in 4 hours, we will multiply 4 by 30.

[tex]\text{Distance traveled by car in 4 hours}=\text{ 4 hours}\times \frac{\text{30 miles}}{\text{hour}}[/tex]

[tex]\text{Distance traveled by car in 4 hours}=4\times\text{30 miles}[/tex]

[tex]\text{Distance traveled by car in 4 hours}=\text{120 miles}[/tex]

Therefore, the car traveled 120 miles in 4 hours.