Question

the distance between two stations A and B is 500km. two trains start from stations, at the same time on parallel tracks to cross each other. The speed of train is 20km/h less than that of the other train. after three and a querter hours, the trains are 45km apart. find the speed of each train
​

Answer 1

The speed of each of the trains, running on parallel tracks at the same time, are 60 km/hr and 80 km/hr.

Step-by-step explanation:

The distance between the two stations A & B = 500 km

The time interval between the two trains = 3 and quarter hr = 3$\frac{1}{4}$ = $\frac{13}{4}$ hr

The distance between the two trains after (13/4) hr is given as = 45 km

∴ The distance covered by both the trains in (13/4) hr will be = 500 – 45 = 455 km

Let the speed of the slower train be “x” km/hr and the speed of the faster train be “(x+20)” km/hr……(as given in the question)

Since it is given that the two trains start from the stations, at the same time on parallel tracks to cross each other, therefore,  

The relative speed = x + (x+20) = (2x + 20) km/hr

Now,

We have the formula as,

Speed = (distance covered) / (time)

substituting the values  

⇒ 2x + 20 = $\frac{455}{\frac{13}{4}}$

⇒ 2x + 20 = $\frac{455}{3.25}$

⇒ 2x + 20 = 140

⇒ 2x = 120  

⇒ x = 60 km/hr ← speed of the slower train

∴ x + 20 = 60 + 20 = 80 km/hr ← speed of the faster train

Thus, the speed of the slower train is 60 km/hr and the faster train is 80 km/hr.

-------------------------------------------------------------------------------------------------

Also View:

An athlete runs around a circular track 8 times, covering a distance of 4km .find the radius of the circular track giving your answr in meters and correct to 2 decimal places.

https://brainly.in/question/11556437

It took a car 6 hours to cover the distance between points A and B with the speed of 50mp/h. How long will it take a bus to cover the same distance, if it travels at 40mp/h?

https://brainly.in/question/13203194

Tracey ran to the top of a steep hill with an average pace of 6 miles per hour she took the exact same trail back down. to her relief the decend was much faster. the average speed rose to 14 miles per hour if entire journy took tracey 1 hour to complete and she did not stop anywhere what is the length of the trail in miles in miles one way.

https://brainly.in/question/8218417

Answer 2

Answer:

answer : 70 km/h,60 km/h.