SOLUTION: Jojomar and his father began biking the same trail at the same time. If Jojomar, who averages 9 kph, finished the trail 0.5 hour quicker than his father, who averages 6 kph, find t

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Jojomar and his father began biking the same trail at the same time. If Jojomar, who averages 9 kph, finished the trail 0.5 hour quicker than his father, who averages 6 kph, find t      Log On


   



Question 909182: Jojomar and his father began biking the same trail at the same time. If Jojomar, who averages 9 kph, finished the trail 0.5 hour quicker than his father, who averages 6 kph, find the length of the trail.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Jojomar and his father began biking the same trail at the same time.
If Jojomar, who averages 9 kph, finished the trail 0.5 hour quicker than his father, who averages 6 kph, find the length of the trail.
:
let d = the length of the trail in km
:
Write a time equation; time = dist/speed
:
Dad's time - Jo's time = .5 hr
d%2F6 - d%2F9 = .5
Multiply equation by 18, the least common multiple of 6 and 9:
18*d%2F6 - 18*d%2F9 = .5(18)
cancel the denominators
3d - 2d = 9
d = 9 km is the length of trail
:
:
see if that checks out, find the actual time of each
9/6 = 1.5 hrs
9/9 = 1.0 hrs
-------------
differ: .5 hrs