Question:
A loaded truck covers 16 km in 25 minutes. At the same speed, how far can it travel in 5 hours?
Solution:
Let the required distance be x km. Then, we have:
$1 \mathrm{~h}=60 \mathrm{~min}$
i.e., $5 \mathrm{~h}=5 \times 60=300 \mathrm{~min}$
Distance (in km) | 16 | x |
Time (in min) | 25 | 300 |
Clearly, the more the time taken, the more will be the distance covered.
So, this is a case of direct proportion.
Now, $\frac{16}{25}=\frac{x}{300}$
$\Rightarrow x=\left(\frac{16 \times 300}{25}\right)$
$\Rightarrow x=192$
Therefore, the required distance is 192 km.