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anonymous

  • one year ago

Can someone please explain in the simplest way how to solve this? Michelle rode her bicycle from her house to school at an average speed of 8 miles per hour. Later that daym she rode school back home along the same route at an average speed of 12 miles per hour. If the round trip took her 1 hour, how many miles is the round trip?

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  1. misty1212
    • one year ago
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    Hi!!

  2. misty1212
    • one year ago
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    don't you hate word problems?

  3. misty1212
    • one year ago
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    we can do it though for sure

  4. anonymous
    • one year ago
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    ok, thanks!

  5. misty1212
    • one year ago
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    we are gong to use distance equals rate time time time, or time is distance divide by rate

  6. misty1212
    • one year ago
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    we don't know what the distance is, so lets call it D

  7. misty1212
    • one year ago
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    time going it \[\frac{D}{8}\]right?

  8. anonymous
    • one year ago
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    yes..

  9. misty1212
    • one year ago
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    and time returning is?

  10. anonymous
    • one year ago
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    D/12

  11. misty1212
    • one year ago
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    right so total time is \[\frac{D}{8}+\frac{D}{12}\] which your are told is 1

  12. misty1212
    • one year ago
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    solve \[\frac{D}{8}+\frac{D}{12}=1\] for \(D\) and you are done

  13. misty1212
    • one year ago
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    do you know how to do that?

  14. misty1212
    • one year ago
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    oh btw they ask for the round trip, so once you find D the answer is actually 2D

  15. anonymous
    • one year ago
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    Do we need to find a common denominator first?

  16. misty1212
    • one year ago
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    you can to that and then add probably be easier to multiply both sides by the least common multiple of 8 and 12 which is 24 that will clear the annoying fractions

  17. anonymous
    • one year ago
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    I did it the first way because it was easier for me, I got D = 4.8

  18. misty1212
    • one year ago
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    i didn't do it, let me check

  19. anonymous
    • one year ago
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    And then 2*4.8 = 9.6. Thank you so much for helping!

  20. misty1212
    • one year ago
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    if you multiply by 24 you get \[3 d+2 d=24\\ 5D=24\\ D=4.8\] yeah you are righ t

  21. misty1212
    • one year ago
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    \[\color\magenta\heartsuit\]

  22. anonymous
    • one year ago
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    that was extremely helpful. thank you again. :)

  23. misty1212
    • one year ago
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    you are quite welcome

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