Question

A train covers $300km$ in $4$hours . Find the distance covered by it in $9$hours.

Answer 1

Distance covered in a certain time is in proportion

Distance $1$ : Time $1$ :: Distance $2$ : Time $2$

Here, Distance $1=300km$

Time $1=4hours$

Time $2=9hours$

and let us assume that Distance $2=x.$

$$\begin{gathered} \Rightarrow \frac{Dis\tan ce1}{Time1}=\frac{Dis\tan ce2}{Time2} \\ \Rightarrow \frac{300}{4}=\frac{x}{9} \\ \Rightarrow \frac{75}{1}=\frac{x}{9} \\ \Rightarrow 75\times 9=x\times 1 \\ \Rightarrow 675=x \end{gathered}$$

So, the distance covered by train in $9$hours is $675km.$