Question:
Ravi walks at the uniform rate of 5 km/hr. What distance would he cover in 2 hours 24 minutes?
Solution:
Let x km be the required distance covered by Ravi in 2 h 24 min.
Then, we have:
$1 \mathrm{~h}=60 \mathrm{~min}$
i. e., $2 \mathrm{~h} 24 \mathrm{~min}=(120+24) \mathrm{min}=144 \mathrm{~min}$
Distance covered (in km) | 5 | x |
Time (in min) | 60 | 144 |
Clearly, more distance will be covered in more time.
So, this is a case of direct proportion.
Now,$\frac{5}{60}=\frac{x}{144}$
$\Rightarrow x=\frac{5 \times 144}{60}$
$\Rightarrow x=12$
Therefore, the distance covered by Ravi in 2 h 24 min is 12 km.