Question

A train covers a distance of 576 km
at a certain speed. If the speed is
decreased by 24 kmlh it will take 2
hours move to cover some distance. Find 33⅓% of original speed​

Answer 1

Answer:    speed of the train is 96 km per hour

Step-by-step explanation:

Alright, lets get started.

Suppose the speed of train is : x km per hour

So, time taken to cover distance of 576 km will be : $\frac{distance}{speed}$

So, time taken to cover distance of 576 km will be : $\frac{576}{x}$

If speed is decreased by 24, the speed will be : $(x-24)$

Time taken to cover the same distance 576 km will be : $\frac{576}{x-24}$

this time taken is 2 hours more than previous one, so

$\frac{576}{x}+2=\frac{576}{x-24}$

$\frac{576}{x-24}-\frac{576}{x}=2$

$\frac{576x - 576x+13824}{x(x-24)}=2$

$x=96 \ and\ x = -72$

Speed can not be negative so,

speed of the train is 96 km per hour.   :   Answer

Hope it will help :)