Anonymous
Anonymous asked in Science & MathematicsMathematics · 4 weeks ago

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

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  • 4 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.

    :)>

  • Bryce
    Lv 7
    4 weeks ago

    750/(t + 2)= 600/t

    750t= 600t + 1200

    150t= 1200; t= 8

    speed= 75 mi/h

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