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Posted by on Thursday, October 21, 2010 at 9:07pm.

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.

  • algebra help - , Thursday, October 21, 2010 at 9:39pm

    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
    .
    .

  • algebra help - , Thursday, October 21, 2010 at 9:40pm

    so is the answer 50

  • algebra help - , Thursday, October 21, 2010 at 9:45pm

    You tell me .

    Does that answer work for the original conditions?

  • algebra help - , Thursday, October 21, 2010 at 9:46pm

    i think so but the answer suppose to be in the form of x and y

  • algebra help - , Thursday, October 21, 2010 at 9:50pm

    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.

  • algebra help - , Thursday, October 21, 2010 at 9:51pm

    206

  • algebra help - , Thursday, October 21, 2010 at 9:54pm

    so what is the speed of the slower biker ?

  • algebra help - , Thursday, October 21, 2010 at 9:56pm

    53

  • algebra help - , Thursday, October 21, 2010 at 10:06pm

    good!

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