A plane flew at a constant speed and traveled $762$ miles in $5$ hours. $\newline$ How many miles would the plane travel in $3$ hours at the same speed? $\newline$ miles

Full solution

Q. A plane flew at a constant speed and traveled

762

miles in

5

hours.

\newline

How many miles would the plane travel in

3

hours at the same speed?

\newline

miles

Calculate Speed: To find out how many miles the plane would travel in $3$ hours at the same speed, we first need to determine the speed of the plane in miles per hour. We do this by dividing the total distance traveled by the total time taken. $\newline$ $\text{Speed} = \frac{\text{Total Distance}}{\text{Total Time}}$ $\newline$ $\text{Speed} = \frac{762 \text{ miles}}{5 \text{ hours}}$
Find Speed: Now, let's perform the division to find the speed. $\newline$ Speed = $762 / 5$ $\newline$ Speed = $152.4$ miles per hour
Calculate Distance: With the speed known, we can now calculate how far the plane would travel in $3$ hours at this constant speed. $\newline$ $\text{Distance} = \text{Speed} \times \text{Time}$ $\newline$ $\text{Distance} = 152.4 \text{ miles/hour} \times 3 \text{ hours}$
Find Distance: Let's perform the multiplication to find the distance. $\newline$ Distance = $152.4 \times 3$ $\newline$ Distance = $457.2$ miles