algebra help

Two motorcyclists start at the same point and travel in opposite directions. One travel 3 mph faster than the other. In two hours they are 206 miles apart. How fast is each traveling?


The speed of the slower motorcyclist is ___ mph.

  1. 0
  2. 0
  3. 29
asked by kate
  1. speed of slower ---- x mph
    speed of faster ---- x+3 mph

    after 2 hours:
    distance covered by slower = 2x
    distance covered by faster = 2(x+3)

    solve
    2x + 2(x+3) = 206
    .
    .

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    posted by Reiny
  2. so is the answer 50

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    posted by kate
  3. You tell me .

    Does that answer work for the original conditions?

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    posted by Reiny
  4. i think so but the answer suppose to be in the form of x and y

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    posted by kate
  5. Are you looking at the answers to this question?
    There is no need for two variables

    I defined x to be the slower speed, and x = 50
    I defined x+3 to be the faster speed, or x+3 = 53

    distance covered by slower in 2 hours = 2(50) = 100 miles
    distance covered by faster in 2 hours = 2(53) = 106
    and what is 100+106 ? ...
    looks good to me.

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    posted by Reiny
  6. 206

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    posted by kate
  7. so what is the speed of the slower biker ?

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    posted by Reiny
  8. 53

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    posted by Anonymous
  9. good!

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    2. 0
    posted by Reiny

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