Question

A train travels $360km$ at a uniform speed. If the speed had been $5km/h$ more, it would have taken $1hour$less for the same journey. Find the speed of the train.

Answer 1

Let us assume,

The speed of the train be$xkm/hr.$

Time taken to cover$360km=360/xhr.$

As per the question given,

$$\begin{gathered} \Rightarrow (x+5)(\frac{360}{x}-1)=360 \\ \Rightarrow 360–x+(1800/x)-5=360 \\ \Rightarrow x^{2^{}}+5x–1800=0 \\ \Rightarrow x(x+45)-40(x+45)=0 \\ \Rightarrow (x+45)(x–40)=0 \\ \Rightarrow x=40,-45 \end{gathered}$$

As we know, the value of speed cannot be negative.

Therefore, the speed of train is $40km/h.$