Two trains start from Fort Worth traveling at the same speed. The trip for Train

The equation that best models this situation is : b.

Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 2,000 miles

Step-by-step explanation:

Given:

Time taken for Train W to complete a trip = 20 hours

Time taken for Train Z to complete a trip = 25 hours

The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.

both trains have same speeds and start from same location.

To find the distance in total each train travels.

Solution:

Let length of the trip of Train W be =  miles

Speed of Train W can be given as :

⇒

⇒

So, the length of the trip of Train Z will be =  miles

Speed of Train Z can be given as :

⇒

⇒

Since the speeds are same, so the equation to find  can be given as:

⇒

Solving for

Multiplying both sides by 100 to remove fractions.

⇒

⇒

Using distribution.

⇒

Subtracting both sides by

⇒

⇒

Thus, Distance traveled by Train W = 1600 miles

Distance traveled by Train Z =  = 2,000 miles

Step-by-step explanation:

The initial formula is:

where v0 is the initial velocity, v is the final velocity, d the displacement and t the time.

First of all, let's multiply by 2 both sides of the equation:

Then divide by t both sides:

And then subtract v from both sides:

So, the final formula is