Question

A bus travels $120$ km in $3$ hours. How long will it take to travel $300$ km​?

Answer 1

Here it is given that,

A bus travels $120$ km in $3$ hours

So, the ratio is $120:3or,$ $\frac{120}{3}$

Now, Let to travel $300$ km​ bus take $x$ hour

So, the ratio is $300:x$ or, $\frac{300}{x}$

since both are ratios between distance and time So both are equal

$120:3=300:x$

$$\begin{gathered} \Rightarrow \frac{120}{3}=\frac{300}{x} \\ \Rightarrow x=\frac{300\times 3}{120} \\ \Rightarrow x=\frac{30}{4} \\ \Rightarrow x=\frac{15}{2}or,7\frac{1}{2} \end{gathered}$$

Hence, Bus take $7\frac{1}{2}$ hour to travel $300$ km​