Question

A train travels a distance of 340 km at a uniform speed. If the speed had been 3 km/h less, then it would have taken 2 hours more to cover the same distance. We need to find the speed of the train.

Answer 1

Let uniform speed of train be $xkm/h$.

So, time taken to cover a distance of $340km=\frac{340}{xh}$

Now, reduced speed of train = $(x-3)km/h$

So, time taken to cover the distance of $340=\frac{340}{(x-3)}$

According to the question

$\left(\frac{340}{x-3}\right)-\left(\frac{340}{x}\right)=2$

$340(\frac{1}{(x-3)}-\frac{1}{x})=2$

By Solving we get, $x(x-3)=510$

$x^2-3x-510=0x=24.13km/hr$