Problem

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. Speed: \[ \square \frac{\mathrm{mi}}{\mathrm{h}} \] X 5 Distance traveled in 4 hours: $\square \mathrm{mi}$

Solution

Step 1 :First, we need to convert the speed from feet per second to miles per hour. We know that 1 mile is equal to 5280 feet, and 1 hour is equal to 3600 seconds. So, we can multiply the speed in feet per second by the conversion factor (1 mile/5280 feet) to get the speed in miles per second, and then multiply by the conversion factor (3600 seconds/1 hour) to get the speed in miles per hour.

Step 2 :Using the given speed of 44 feet per second, we find that the speed in miles per second is \(0.008333333333333333\) and the speed in miles per hour is \(30.0\).

Step 3 :Now, to find out how many miles the car will travel in 4 hours, we simply multiply the speed in miles per hour by the number of hours.

Step 4 :Given that the car's speed is 30 miles per hour and it travels for 4 hours, the total distance travelled is \(120.0\) miles.

Step 5 :Final Answer: The car's speed in miles per hour is \(\boxed{30}\). The car will travel \(\boxed{120}\) miles in 4 hours.

From Solvely APP
Source: https://solvelyapp.com/problems/o1Q3hJswCO/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download