SOLUTION: carl and candice leave the same point riding bikes in the same direction. Candice rides at 3/4 carl's speed. After 2 hours, they are 28 miles apart. what is the average speed of

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: carl and candice leave the same point riding bikes in the same direction. Candice rides at 3/4 carl's speed. After 2 hours, they are 28 miles apart. what is the average speed of      Log On

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Question 226802: carl and candice leave the same point riding bikes in the same direction. Candice rides at 3/4 carl's speed. After 2 hours, they are 28 miles apart. what is the average speed of each rider?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
carl and candice leave the same point riding bikes in the same direction.
Candice rides at 3/4 carl's speed.
After 2 hours, they are 28 miles apart.
what is the average speed of each rider?
:
Let s = Carl's speed
then
.75s = Candice's speed
:
Write a distance equation; (Dist = speed * time)
:
Carl's dist - Candice's dist = 28 miles
2s - 2(.75s) = 28
2s - 1.5s = 28
.5s = 28
s = 28%2F.5
s = 56 mph, Carl's speed
then
.75(56) = 42 mph is Candice's speed
;
;
Check this by finding the distance each traveled.
2*56 = 112 mi
2*42 = 84 mi
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differ= 28 mi