Two Trains left a station at the same time. One traveled north at a certain speed and the other traveled south at twice that speed. After 4 hours, the trains were 600 miles apart. How fast was each train traveling? Write an equation to solve.

Question

Mathematics

Callie Freeman

Today, 06:29

Two Trains left a station at the same time. One traveled north at a certain speed and the other traveled south at twice that speed. After 4 hours, the trains were 600 miles apart. How fast was each train traveling? Write an equation to solve.

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Answers (2)

Know the Answer?

Jessica Allison · Answer 1

X + 2x = 600/4

x = 50

so one train is traveling 50 miles per hour

and the other is 100 miles per hour

Regan Jacobs · Answer 2

Let s = northbound train

Then

2s = southbound train

:

Distance = time * speed

4s + 4 (2s) = 600

:

4s + 8s = 600

:

12s = 600

:

s = 600/12

:

s = 50 mph is the northbound train

Then

2 (50) = 100 mph is the southbound train

:

:

Check:

4 (50) + 4 (100) = 600