Question

A loaded truck travels $14\text{km}$ in $25$ minutes. If the speed remains the same, how far can it travel in $5\text{hours}$?

Answer 1

We know that $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$
It is given that the speed remains the same.
Therefore, $\frac{\text{Distance}}{\text{Time}}=\text{Constant}$
Hence, distance and time are in direct proportion.

Let the distance travelled by the truck in $5$ hours be $x$.
Now, $5\text{hours}=5\times 60=300\text{minutes}$
Hence, distance travelled in 300 minutes is,
$\frac{14\text{km}}{25\text{mins}}=\frac{x}{300\text{mins}}$
$\Rightarrow x=168\text{km}$