Question

Ravi walks at the uniform rate of 5 km/hr. What distance would he cover in 2 hours 24 minutes?

Answer 1

Let x km be the required distance covered by Ravi in 2 h 24 min.
Then, we have:
$$\begin{gathered} 1\mathrm{h}=60\min \\ \mathrm{i}.\mathrm{e}.,2\mathrm{h}24\min =(120+24)\min =144\min \end{gathered}$$

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.
$$\begin{gathered} \mathrm{Now},\frac{5}{60}=\frac{x}{144} \\ \Rightarrow x=\frac{5\times 144}{60} \\ \Rightarrow x=12 \end{gathered}$$

Therefore, the distance covered by Ravi in 2 h 24 min is 12 km.