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
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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) (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
- = .5
Multiply equation by 18, the least common multiple of 6 and 9:
18* - 18* = .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
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