Question

one train traveling 20 km/hr faster than another train, covers a distance of 360 km in one and half hours less than the other. Find the speed of each train!!​

Answer 1

Answer:

380 km per hour

because one train is traveling in 360km per hr

Answer 2

100 km/h and 80 km/h.

Step-by-step explanation:

Let x km/h be the speed of one train,

So, the speed of another train = (x+20) km/h,

We know that,

$Speed =\frac{Distance}{Time}$

$\implies Time = \frac{Distance}{Speed}$

If total distance = 360 km,

So, time taken by first train = $\frac{360}{x}$

And, time taken by second train = $\frac{360}{x+20}$

According to the question,

$\frac{360}{x}-\frac{360}{x+20}=1.5$

$\frac{360x+7200 - 360x}{x^2+20x}=1.5$

$\frac{7200}{x^2+20x}=1.5$

$7200=1.5x^2+30x$

$480 = 0.1x^2 + 30x$

$4800 = x^2 + 30x$

$x^2 + 30x - 4800=0$

By middle term splitting,

$x^2 + 80x - 60x - 4800=0$

$x(x+80)-60(x+80)=0$

$(x-60)(x+80)=0$

By zero product property,

x - 60 = 0 or x + 80 = 0

⇒ x = 60 or x = -80 ( not possible )

∵ 80 + 20 = 100 km/h

Hence, speeds of train are 100 km/h and 80 km/h.

#Learn more :

A faster train takes one hour less than a slower train for a journey of 200 km. If the speed of slower train is 10 km/hr less than that of faster train, find the speeds of two trains.

https://brainly.in/question/7488801