SOLUTION: Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles
Algebra.Com
Question 268575: Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?
t=d/s
I know the answer is 4.5 hours but am having problems setting up the equations.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
d=rt
d=6t for the first cyclist.
d=10(t-3) for the second cyclist.
Because the distances are the same set the 2 equations equal.
6t=10(t-3)
6t=10t-30
6t-10t=-30
-4t=-30
t=30/4
t=7.5 hours after the first cyclist leaves.
7.5-3=4.5 hours after the second cyclist leaves.
RELATED QUESTIONS
Two cyclists start biking from a trail’s start 3 hours apart. The second cyclist travels... (answered by Paul)
Two cyclists start biking from a trail’s start 3 hours apart. The second cyclist travels... (answered by Paul)
Two cyclists start biking from a trail’s start 3 hours apart. The second cyclist travels... (answered by ptaylor)
Two cyclists start biking from a trail’s start 3 hours apart. The second cyclist travels... (answered by ankor@dixie-net.com)
Two cyclists start biking from a trail’s start 3 hours apart. The second cyclist travels... (answered by ptaylor)
Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels... (answered by Edwin McCravy)
Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels (answered by ptaylor)
Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels... (answered by ankor@dixie-net.com)
Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels... (answered by Mathtut)
Two cyclists start biking from a trails start 3 hours apart. the second cyclist travels... (answered by ankor@dixie-net.com)