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?

Question

The speed of the slower motorcyclist is ___ mph.

Answer 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
.
.

Answer 2

so is the answer 50

Answer 3

You tell me .

Does that answer work for the original conditions?

Answer 4

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

Answer 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.

Answer 6

206

Answer 7

so what is the speed of the slower biker ?

Answer 8

53

Answer 9

good!