Question

a train covers a distance of 300km between two stations at a speed of x km/hr . aanother train covers the same distance at a speed of (x-5)km/hr . 1) if the first train takes 3 hour less than the second train, find the speed of each train. 2) find the time which each train takes to cover the distance between the stations​

Answer 1

first train x km/hr

second train (x-5) km/hr

Time=distance/speed

3 hr more

300/x 300/(x-5) =3

x=25or-20

speed cannot negative

so x=25km/hr and 20km/hr

Answer 2

1) 25 km/hr and 20 km/hr resp, 2) 12 hours and 15 hours.

Step-by-step explanation:

Since we have given that

Distance between them = 300 km

Speed of second train = (x-5) km/hr

Speed of first train = x km/hr

if the first train takes 3 hour less than the second train,

According to question,

$\dfrac{300}{x-5}-\dfrac{300}{x}=3\\\\\dfrac{x-(x-5)}{x(x-5)}=\dfrac{3}{300}=\dfrac{1}{100}\\\\\dfrac{5}{x^2-5x}=\dfrac{1}{100}\\\\500=x^2-5x\\\\x^2-5x-500=0\\\\x=-20,25$

Speed of each train are 25 km/hr and 20 km/hr resp.

. 2) find the time which each train takes to cover the distance between the stations​

Time taken by first train is given by

$\dfrac{300}{25}=12\ hours$

Time taken by second train is given by

$\dfrac{300}{20}=15\ hours$

Hence, 1) 25 km/hr and 20 km/hr resp, 2) 12 hours and 15 hours.

# learn more:

The distance between in two station 300km a train takes 10 hrs to covers this distance calculate the speed of the train in km/hr and m/seconds​

https://brainly.in/question/14164184