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anonymous

  • 4 years ago

Newport & Vernonville are 200 miles apart. A car leaves Newport traveling towards Vernonville, and another car leaves Vernonville the same time, traveling towards newport. The car leaving Newport averages 10mph more than other, and they meet after 1 hour 36. What are the average speeds of the car? The car leaving Newport averages _______MPH? The car leaving Vernonville averages _____MPH?

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  1. radar
    • 4 years ago
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    The distance that each car travels sums up to 200 miles. distance = rate times time. I am thinkin you might could use that info.

  2. radar
    • 4 years ago
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    Let x = distance of the Newport bound car Let y =distance of the veronville bound car x+y=200 We are given time t as 1 hour 36 min, which we need to convert to hour units 1 + 36/60 =1.6 hours. Do I need to go on?

  3. radar
    • 4 years ago
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    Mph of Newport bound car = x/1.6 mph of Vernonville bound car = y/1.6

  4. anonymous
    • 4 years ago
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    Yes, so my 1st equation is 1.6x+1.6y=200 my second equation is x-y-10

  5. radar
    • 4 years ago
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    I don't think so, lets see what robtobey has to say.

  6. anonymous
    • 4 years ago
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    r t = d Let r be speed of the slower car. Solve the following for r:\[(r+10)\frac{8}{5}+r\frac{8}{5} =200\]\[r=\frac{115}{2} \]\[r+10=\frac{135}{2} \]

  7. radar
    • 4 years ago
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    I may have got off to a wrong startt.

  8. radar
    • 4 years ago
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    Thanks robtobey.

  9. anonymous
    • 4 years ago
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    \[\{67.5 \text{ mph},57.5\text{ mph}\} \]

  10. anonymous
    • 4 years ago
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    Your welcome.

  11. radar
    • 4 years ago
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    LynDor please note, 8/5 is the time 1.6 hr

  12. radar
    • 4 years ago
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    As you can see I should of Let x =rate of slower car rather than distant, I also should of kept it in terms of one unknown (x+10) rate of faster car.

  13. anonymous
    • 4 years ago
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    Thanks. I would never have answered it. So 67.5 is the car leaving newport?

  14. radar
    • 4 years ago
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    Yes, the faster car is leaving Newport.

  15. anonymous
    • 4 years ago
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    OK, thanks. Is there a limit of questions per day?

  16. anonymous
    • 4 years ago
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    How do I give a medal?

  17. radar
    • 4 years ago
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    I don't think there is a limit to the number of questions. To award a medal click on the "Good Answer" button. Good luck with your studies.

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