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anonymous

  • 5 years ago

A Piper Cub has an average air speed that is 10mph faster than a Cessna 150 airplane. If the combined distance traveled by these two small planes is 690 miles after 3 hr, what is the average speed of each plane?

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  1. anonymous
    • 5 years ago
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    let x be speed 1, y be speed 2. 3(x+y) = 690. x = y + 10. So Y=110 X= 120 is this correct?

  2. anonymous
    • 5 years ago
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    v1 = 10 + v2

  3. anonymous
    • 5 years ago
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    so I'm wrong?

  4. anonymous
    • 5 years ago
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    well im doing it differently

  5. anonymous
    • 5 years ago
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    do you agree that v1 = 10 + v2

  6. anonymous
    • 5 years ago
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    v1 is the speed of the piper cub

  7. anonymous
    • 5 years ago
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    yes

  8. anonymous
    • 5 years ago
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    ok the distance we know is d = v* t , where v is the speed or rate, like d = rt

  9. anonymous
    • 5 years ago
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    right

  10. anonymous
    • 5 years ago
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    so the total distance you add the distances of the two planes , so v1*3 + (10+v2) *3 = 690

  11. anonymous
    • 5 years ago
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    so you have a system of equations ,

  12. anonymous
    • 5 years ago
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    since you know that v1 = 10 + v2, you can substitute that into the second equation

  13. anonymous
    • 5 years ago
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    ok

  14. anonymous
    • 5 years ago
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    (10 + v2) *3 + (10+v2)*3 = 690

  15. anonymous
    • 5 years ago
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    maybe someone should check my work

  16. anonymous
    • 5 years ago
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    \[\sqrt{105}\]

  17. anonymous
    • 5 years ago
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    v =10.25695

  18. anonymous
    • 5 years ago
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    i got v2 = 105

  19. anonymous
    • 5 years ago
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    as did I

  20. anonymous
    • 5 years ago
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    so v1 = 115

  21. anonymous
    • 5 years ago
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    hmm, so The first one I did was wrong

  22. anonymous
    • 5 years ago
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    no no nio

  23. anonymous
    • 5 years ago
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    i made a mistake

  24. anonymous
    • 5 years ago
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    we had v1 *3 + v2 *3 = 690

  25. anonymous
    • 5 years ago
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    3 ( v1 +v2 ) = 690

  26. anonymous
    • 5 years ago
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    substitute v1 = 10 + v2

  27. anonymous
    • 5 years ago
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    3 ( 10 + v2 + v2) = 690

  28. anonymous
    • 5 years ago
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    so v2 = 110

  29. anonymous
    • 5 years ago
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    so v1 = 100

  30. anonymous
    • 5 years ago
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    i meant

  31. anonymous
    • 5 years ago
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    oh, I got 120, let me check my math

  32. anonymous
    • 5 years ago
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    v1 = 120

  33. anonymous
    • 5 years ago
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    you did everything right

  34. anonymous
    • 5 years ago
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    AWESOME! thank you sooo much!

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