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!