Question

Question 1 (1 point)
Train X travels 20 km/hr faster than train P. If train X travels 50 km in the same time
that train P travels 40 km. How long would it take Train X to travel 500 km?
Approximate you answer to 2 decimal places, and input your answer in hours.

Answer 1

By solving a system of equations, we will see that Train X travels 500km in 5 hours.

How to get the speeds of the trains?

Remember the relation:

distance = speed*time.

First, if Sx is the speed of the train X and Sp is the speed of the train P, we know that:

Sx - 20 km/hr. = Sp

Then, we know that in the time T in which X travels 50 km, P travels 40km, we can write that as:

50km = Sx*T

40km = (Sx - 20km/hr)*T

So we have a system of equations.

Now we can solve this to find the speed Sx, to do it, we need to isolate T on one equation.

T = 50km/Sx.

Now we can replace that with the other equation:

40km = (Sx - 20km/hr)*50km/Sx.

Now we can solve this for Sx.

40km*Sx = (Sx - 20km/hr)*50km

40km*Sx = Sx*50km - 1,000 km^2/hr

40km*Sx - Sx*50km = -1,000 km^2/hr

-Sx*10km = -1,000 km^2/hr

Sx = (-1,000 km^2/hr)/(-10 km) = 100km/h

Now we want to know how long the train X takes to travel 500km, so we need to solve:

500km = 100km/h*T

500km/(100km/h) = 5h = T.

The train will travel 500km in 5 hours.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904