CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The distance between two stations is $$482\ km$$. Two trains starts simultaneously from these stations on parallel track to cross each other. The speed of one of them is greater than that of the other by $$4\ km/hr$$. If the distance between the two trains after $$3$$ hours is $$20\ km$$, find the speed of ach train.


Solution

Let speed of first train $$=x\,km/hr$$
Then speed of other train $$=(x+4)km/hr$$
Distance traveled by first train after $$3\,hrs=3x\,km$$
Distance traveled by other train after $$3\,hrs=3(x+4)\,km=(3x+12)\,km$$
Now, distance between them is $$20\,km$$
So, $$3x+(3x+12)+20=482$$
$$\Rightarrow$$  $$6x+32=482$$
$$\Rightarrow$$  $$6x=482-32$$
$$\Rightarrow$$  $$6x=450$$
$$\therefore$$  $$x=\dfrac{450}{6}=75\,km/hr$$
$$\therefore$$  $$x+4=75+4=79\,km/hr$$
$$\therefore$$  Speed of the trains are $$75\,km/hr$$ and $$79\,km/hr$$

Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image