SOLUTION: Problem Page Two cyclists start at the same point and travel in opposite directions. One cyclist travels 4 km/h faster than the other. If the two cyclists are 224km apart after 4

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Problem Page Two cyclists start at the same point and travel in opposite directions. One cyclist travels 4 km/h faster than the other. If the two cyclists are 224km apart after 4       Log On


   

Question 1078294: Problem Page
Two cyclists start at the same point and travel in opposite directions. One cyclist travels 4 km/h faster than the other. If the two cyclists are 224km apart after 4
hours, what is the rate of each cyclist?
Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
.
4r + 4*(r+4) = 224.

4r + 4r + 16 = 224,

8r = 224 - 16 = 208 --->  r = 208%2F8 = 26.


Answer.  Rate of one cyclist is 26 mph.  Rate the other is 26 + 4 = 30 mph.

For objects traveling in opposite directions see the lesson
    - Travel and Distance problems for two bodies moving in opposite directions
in this site.

For objects traveling in the same direction see the lesson
    - Travel and Distance problems for two bodies moving in the same direction (catching up)


Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the section "Word problems", the topic "Travel and Distance problems".