Posted by **kate** 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 -
**Reiny**, 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 -
**kate**, Thursday, October 21, 2010 at 9:40pm
so is the answer 50

- algebra help -
**Reiny**, Thursday, October 21, 2010 at 9:45pm
You tell me .

Does that answer work for the original conditions?

- algebra help -
**kate**, 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 -
**Reiny**, 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 -
**kate**, Thursday, October 21, 2010 at 9:51pm
206

- algebra help -
**Reiny**, Thursday, October 21, 2010 at 9:54pm
so what is the speed of the slower biker ?

- algebra help -
**Anonymous**, Thursday, October 21, 2010 at 9:56pm
53

- algebra help -
**Reiny**, Thursday, October 21, 2010 at 10:06pm
good!

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