SOLUTION: Alana and her father Tim begin skiing the same cross-country ski trail in Elmwood park in sioux Falls, South Dakota, at the same time. If Alana, who averages 9 miles per hour, fini

Question 270809: Alana and her father Tim begin skiing the same cross-country ski trail in Elmwood park in sioux Falls, South Dakota, at the same time. If Alana, who averages 9 miles per hour, finishes the trail 0.25 hours sooner than her father, who averages 6 miles per hour, determine the length of the trail?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If Alana, who averages 9 miles per hour, finishes the trail 0.25 hours sooner than her father, who averages 6 miles per hour, determine the length of the trail?
:
Let t = time it takes A to ski the trail
Let (t+.25) = time for daddy to do it
:
A's dist = D's dist (dist = speed * time)
9t = 6(t+.25)
9t = 6t + 1.5
9t - 6t = 1.5
3t = .5 hrs for A to do it
:
Find the dist (d's time .5 + .25 = .75)
.5*9 = 4.5 mi is the length of the trail
Find the dist using daddy's time
.75(6) = 4.5 mi also
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