Question

two trains start simultaneously from two station 300 km apart and move towards each other the speed of one train is more than the other by 20 km per hour if the distance between the train after 2 hour is 20 km find the speed of the trains​

Answer 1

The train take time 30 hours

Answer 2

$\huge{\boxed{\tt{Answer:}}}$

$\implies$ Let the points A and B denote the stations A and B respectively.

$\implies$ Let the first train start from Station A and the other train start from Station B at the same time and move towards each other as shown in the attachment above.

$\implies$ Let the speed of train be x km/hr.

$\therefore$ The speed of other train = (x+20) km/hr

Distance travelled by first train in 1 hr = x km

Distance travelled by first train in 2 hrs = (2x) km

Distance travelled by other train in 1 hr = (x+20) km

Distance travelled by other train in 2 hrs = 2(x+20) km = 2(x+40) km

The distance between two stations is given as 300 km.

$\textbf{\underline{\underline{According\:To\:Question:}}}$

Distance travelled by first train + Distance travelled by other train + 20 = 300

$\implies2x \times (2x + 40) + 20 = 300$

$\implies2x + 2x + 40 + 20 = 300$

$\implies4x + 60 = 300$

$\implies4x = 300 - 60$

$\implies4x = 240$

$\implies \: x = \dfrac{240}{4}$

$\implies \: x = 60$

$\therefore$ Speed of 1st train = 60 km/her

Speed of the other train = (60+20) km/her i.e 80 km/her