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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-> 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.
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
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differ: .5 hrs