Question

How long will an airplane flying at an average speed of 500 miles per hour take to travel 2750 miles?

Answer 1

Hint: In the above problem, we have been asked the time taken by an airplane to travel a certain distance when its speed and total distance of travel has been given. We can solve the above problem using the distance formula. The distance formula can be stated as, the distance travelled by a particle in a given time period is equal to, the speed of the particle multiplied by total time taken by the particle to cover that distance.

Complete answer:
Now to calculate the time taken by the airplane, let us first assign the given values some terms so that we can easily define them.
Let the speed by which the plane is moving be $u$ .
Let the total distance travelled by the plane with this constant speed be $D$ .
Let the total time taken by the airplane to cover this distance be $t$.
Now, it has been given to us in the problem that:
The value of $u$ is equal to 500 miles per hour.
The value of $D$is equal to 2750 miles.
And the value of $t$ is to be known.
Therefore, using the distance formula. We have:
$\begin{align}
  & \Rightarrow D=u\times t \\
 & \Rightarrow t=\dfrac{D}{u} \\
\end{align}$
Thus, putting the value of$D$ and $u$ in the above equation, we get:
 $\begin{align}
  & \Rightarrow t=\dfrac{2750}{500}hrs \\
 & \Rightarrow t=5.5hrs \\
\end{align}$
Thus, the time taken by the airplane to cover a distance of 2750 miles at a speed of 500 miles per hour is 5.5 hours.

Note:
These are some of the very basic and easy questions but even they have a scope of error if we are not careful enough. Even though we saw the use of only one formula in the question, that is, the distance formula, we should still be careful while putting the values of terms in the formula. We should especially check if the units are correct or not or do they need any conversion before using.