SOLUTION: Coleen and Justin go out for a bicycle ride. They leave from the same place riding in opposite directions. Justin is riding 10 miles per hour faster than Coleen. After riding for 6

Algebra.Com
Question 923995: Coleen and Justin go out for a bicycle ride. They leave from the same place riding in opposite directions. Justin is riding 10 miles per hour faster than Coleen. After riding for 6 hours, they are 180 miles apart from each other. At what speed was Justin riding?
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
Defining a variable (what I would write first):
= Coleen's speed in miles per hour.

Reasoning (no need to write all this):
= Justin's speed in miles per hour. (You may or may not =want to write that).
So, the distance between Coleen and Justin starts at zero,
and increases at a rate of miles per hour.
So, after hours, the distance between them must have increased to times the rate of increase above.

Writing an equation (what I would write next):


Solving:
(you can skip this line)






is Justin's speed in miles per hour.

NOTES:
There are many ways to get the the same answer.

If just a fast answer and no work is required,
I would think through







and maybe would try to do it without even picking up a pen or pencil.

Your teacher may be partial to
= Justin's speed in miles per hour.
= Coleen's speed in miles per hour.
-->-->-->-->-->-->-->

RELATED QUESTIONS

Jamila and Tara go out for a bicycle ride. They leave from the same place riding... (answered by Paul)
coleen and mariah both leave the bookstore at the same time but in opposite directions.... (answered by ikleyn,addingup)
Hannah and Caitlyn are riding bikes. They leave from the same place at the same time... (answered by addingup)
Two boys on bicycles start from the same place and ride in opposite directions. One rides (answered by stanbon,ewatrrr)
Two boys on bicycles start from the same place and ride in opposite directions. Ones... (answered by Fombitz)
gwen and jean have an argument before a bike ride. so they leave riding in opposite... (answered by stanbon)
two cyclists start from the same place and ride in opposite directions. one cyclist is... (answered by lwsshak3)
Motorcycle A and B leave the same place and travelling in opposite directions. If... (answered by ikleyn)
A two motorcycle leave the same place and travelled in opposite directions. If one... (answered by ikleyn,richwmiller)