SOLUTION: At the beginning of a bicycle race for charity, Roberto and Juana are 30 mi. apart. If they leave at the same time and ride in the same direction, Roberto overtakes Juana in 6 hr.

Question 42574: At the beginning of a bicycle race for charity, Roberto and Juana are 30 mi. apart. If they leave at the same time and ride in the same direction, Roberto overtakes Juana in 6 hr. If they ride toward each other, they meet in 1 hr. What are their speeds
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Let r and j be their respective speeds.
Well if they ride toward each other and met in 1 hour, they must have a combined speed of 30 mph, since they were 30 miles apart...thus
r + j = 30
Now, Roberto overtakes Juana in 6 hours, meaning he must be going 5 mph faster to make up the 30 miles in 6 hours...thus
r = j + 5
Substituting this r into the first equation, we get
j+5 + j = 30
2j + 5 = 30
2j = 25
j = 12.5
and then
r = 17.5
RELATED QUESTIONS
I need some help getting the answer on this one: At the beginning of a bicycle race... (answered by fractalier)

At the beginning of a bicycle ride for charity Roberto and Juana are 30 mi apart. If they (answered by palanisamy)

at a beginning of a bicycle ride for charity, Roberto and Juana are 30 miles apart. If... (answered by ankor@dixie-net.com)

at the beginning of a bicycle ride for charity, roberto and juana are 30 miles apart. If... (answered by robertb,mananth)

How to solve this problem please: At the beginning of a bicycle ride for charity, Yady... (answered by Edwin McCravy,stanbon)

at the beginning of a walk roberto and juanita are 7.7 miles apart. if they leave at the... (answered by robertb)

Please help me solve this. I have no idea! At the beginning of a walk, Roberto and... (answered by ankor@dixie-net.com)

At the beginning of a walk, Roberto and Juanita are 2.2 miles apart. If they leave at the (answered by josmiceli)

At the beginning of a walk, juanita and roberto are 7.7 miles apart. If they leave at the (answered by gonzo)