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anonymous

  • one year ago

a jet plane traveling at 500 mph overtakes a propeller plane traveling at 200 mph that had a 4-hour head start. How far from the starting point are the planes?

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  1. Mertsj
    • one year ago
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    |dw:1441758591522:dw|

  2. Mertsj
    • one year ago
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    Write the equation that says that the two distances are equal. Solve for t. Use the solution for time to calculate the distance.

  3. anonymous
    • one year ago
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    500t=200(t+2) @Mertsj

  4. Mertsj
    • one year ago
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    500t =200(t+4)

  5. anonymous
    • one year ago
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    |dw:1441759734634:dw|

  6. anonymous
    • one year ago
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    8/3?

  7. Mertsj
    • one year ago
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    500t = 200t+800 300t=800 t=8/3 d=500t=500(8/3)=1,333 1/3miles

  8. anonymous
    • one year ago
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    I give up

  9. Mertsj
    • one year ago
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    why do you give up? You found out that in 2 2/3 hours the jet will catch the other plane, right?

  10. anonymous
    • one year ago
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    I'm trying so hard to do these problems and I can't do it.

  11. Mertsj
    • one year ago
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    Stop saying "can't". You got the time right. If you go 50 miles in one hour, how far will you go in 2 hours?

  12. Mertsj
    • one year ago
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    Answer is 50 times 2

  13. Mertsj
    • one year ago
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    If the jet goes 500 miles in 1 hour, how far will it go in 2 2/3 hours?

  14. anonymous
    • one year ago
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    I'm on a different question now. It's just stressful.

  15. Mertsj
    • one year ago
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    Answer is 500 time 2 2/3

  16. anonymous
    • one year ago
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    I know but I'm on A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road was 4 hours. Find the average speed on the level road if the entire trip was 188 miles.

  17. anonymous
    • one year ago
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    @Mertsj

  18. Mertsj
    • one year ago
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    |dw:1441761147881:dw|

  19. Mertsj
    • one year ago
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    This time it tells you the total of the two distances so write and solve the equation that says the sum of the distances is 188

  20. anonymous
    • one year ago
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    r+20=3(r+20)?

  21. anonymous
    • one year ago
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    @Mertsj

  22. Mertsj
    • one year ago
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    How do you find a sum?

  23. anonymous
    • one year ago
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    Solve for t?

  24. Mertsj
    • one year ago
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    What is the sum of 3and 5?

  25. anonymous
    • one year ago
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    8

  26. Mertsj
    • one year ago
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    How did you get that?

  27. anonymous
    • one year ago
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    property of addition by adding 3 and 5 together

  28. Mertsj
    • one year ago
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    Correct. So I repeat my original question: How do you find a sum?

  29. anonymous
    • one year ago
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    addition

  30. Mertsj
    • one year ago
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    So back to the problem: What is the sum of the distances?

  31. anonymous
    • one year ago
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    188?

  32. Mertsj
    • one year ago
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    Look at the table I drew. What is the distance traveled on the level road?

  33. anonymous
    • one year ago
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    3(r+20)

  34. Mertsj
    • one year ago
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    What is the distance traveled on the winding road?

  35. anonymous
    • one year ago
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    4r

  36. Mertsj
    • one year ago
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    So the sum is 4r + 3(r+20)

  37. Mertsj
    • one year ago
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    And the problem explains that the total is 188.

  38. Mertsj
    • one year ago
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    Write and solve the equation.

  39. anonymous
    • one year ago
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    R=120/7

  40. Mertsj
    • one year ago
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    Wouldn't it be 128/7?

  41. Mertsj
    • one year ago
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    \[4r+3(r+20)=188\] \[4r+3r+60=188\] \[7r+60=188\] \[7r=128\] \[r=\frac{128}{7}=18 \frac{2}{7}\]

  42. anonymous
    • one year ago
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    Oops I meant to put 128/7

  43. anonymous
    • one year ago
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    That can't be the miles though.

  44. anonymous
    • one year ago
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    @pooja195 can you help me?

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