SOLUTION: Ruel can bike 5 kph faster than Greg. At noon, each boy leaves his house and travels towards each other. If the distance between their houses is 15 kilometers and they meet in 30

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Question 1195139: Ruel can bike 5 kph faster than Greg. At noon, each boy leaves his
house and travels towards each other. If the distance between their
houses is 15 kilometers and they meet in 30 minutes, what is each
boy's rate?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39799) About Me  (Show Source):
You can put this solution on YOUR website!
Greg's speed r
Ruel's speed r+5

Consuming the distance 15 kilometers between them;
r%2B%28r%2B5%29=15%2F%281%2F2%29
%281%2F2%29%282r%2B5%29=15
2r%2B5=30
2r=25
r=25%2F2
r=12%261%2F2 Greg's speed
17%261%2F2 Ruel's speed

Answer by ikleyn(53763) About Me  (Show Source):
You can put this solution on YOUR website!
.
Ruel can bike 5 kph faster than Greg. At noon, each boy leaves his
house and travels towards each other. If the distance between their
houses is 15 kilometers and they meet in 30 minutes, what is each
boy's rate?
~~~~~~~~~~~~~~~~~~~ 

x = Greg's biking rate, in km/h.

(x+5) = Ruel biking rate, km/h.


Write the total distance equation

    0.5x + 0.5*(x+5) = 15 kilometers.


Simply and find x

    0.5x + 0.5x + 2.5 = 15

         x            = 15 - 2.5

         x            = 12.5.


ANSWER. Greg's rate is 12.5 km/h;  Ruel's rate is 12.5 + 5 = 17.5 km/h.


CHECK.  0.5*(12.5 + 17.5) = 0.5*30 = 15 kilometers, total distance.   ! Correct !

Solved.

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For simple Travel & Distance problems,  see introductory lessons
    - Travel and Distance problems
    - Travel and Distance problems for two bodies moving in opposite directions
    - Travel and Distance problems for two bodies moving in the same direction (catching up)
in this site.

They are written specially for you.

You will find the solutions of many similar problems there.

Read them and learn once and for all from these lessons on how to solve simple Travel and Distance problems.

Become an expert in this area.


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Ignore post by @josgarithmetic,  since,  highlight%28as_usual%29,  his solution is  highlight%28INCORRECT%29

and his answers  1 1/4  for  Greg and  6 1/4  for  Ruel  both are  highlight%28WRONG%29.