The speed of a space shuttle orbiting the Earth is $28$ , $325$ miles per hour. What is the distance, in thousands of miles, the space shuttle travels in $5$ days?

Full solution

Q. The speed of a space shuttle orbiting the Earth is

28

325

miles per hour. What is the distance, in thousands of miles, the space shuttle travels in

5

days?

Calculate total distance: Calculate the total distance traveled in miles. $\newline$ To find the total distance traveled, we need to multiply the speed of the space shuttle by the total number of hours in $5$ days. $\newline$ There are $24$ hours in a day, so in $5$ days, there are $5$ days $\times$ $24$ hours/day $= 120$ hours. $\newline$ Now, we multiply the speed of the space shuttle by the total number of hours: $\newline$ Total distance $=$ Speed $\times$ Time $\newline$ Total distance $= 28,325$ miles/hour $24$ $0$ hours
Perform multiplication: Perform the multiplication to find the total distance. $\newline$ Total distance = $28,325 \, \text{miles/hour} \times 120 \, \text{hours}$ $\newline$ Total distance = $3,399,000 \, \text{miles}$
Convert to thousands of miles: Convert the total distance into thousands of miles. $\newline$ Since $1$ thousand miles is equal to $1,000$ miles, we divide the total distance by $1,000$ to convert it into thousands of miles. $\newline$ Distance in thousands of miles $= \frac{\text{Total distance}}{1,000}$ $\newline$ Distance in thousands of miles $= \frac{3,399,000 \text{ miles}}{1,000}$
Perform division: Perform the division to find the distance in thousands of miles. $\newline$ Distance in thousands of miles = $3,399,000$ miles / $1,000$ $\newline$ Distance in thousands of miles = $3,399$