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# Can you help me how to solve this math problem?

Stan took a 2-day road trip. He traveled 600 miles on the first day. However, he drove 2 hours longer on the second day to travel 750 miles. If Stan maintained the same average speed on both days, what was that average speed?

I tried at first making an equation. Because it says 2 hours longer I made the equation 750/(x+2) = 600 / x. Then I solved for x but I got the question wrong. Please explain so I can understand how to do these types of equations.

Update:

oh okay. I forgot to plug in 8 thats why. I put 8 as the answer and got it wrong. Thank you. I understand now.

### 2 Answers

Relevance

- Wayne DeguManLv 74 weeks ago
Using your equation 750/(x + 2) = 600/x we get:

750x = 600(x + 2)

750x = 600x + 1200

so, 150x = 1200

i.e. x = 8 hours

Then, speed is 750/(8 + 2) = 600/8 = 75 m.p.h.

:)>

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