Question

A train leaves Los Angeles at 2 p.m. heading north at 50 mph. If the next train leaves three hours later and also heads north at 60 mph, at what time will the second train catch up with the first?

Answer 1

Answer:

8:00 AM

Step-by-step explanation:

alphabetsam had a good step by step explaination but they got the timing wrong.

They put 8 PM instead of AM. The correct answer is 8:00 AM.

Answer 2

Since the first train has been travelling for 3 hours, we have the following equations:
$d=50t+3*50=50t+150$
$d=60t$

We want to know when they will be equal, so set these equal to eachother:
$60t=50t+150$
$10t=150$
$t=15$

So 15 hours after the second train leaves, they will be at the same distance. This is at 8AM since the second train leaves at 5PM.