SOLUTION: Mike can run the mile in 6 minutes, and Dan can run the mile in 9 minutes. If Mike gives Dan a head start of 1 minute, how far from the start will Mike pass Dan? How long does it t

Question 348083: Mike can run the mile in 6 minutes, and Dan can run the mile in 9 minutes. If Mike gives Dan a head start of 1 minute, how far from the start will Mike pass Dan? How long does it take?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Mike can run the mile in 6 minutes, and Dan can run the mile in 9 minutes.
If Mike gives Dan a head start of 1 minute, how far from the start will Mike pass Dan?
How long does it take?
:
Find M's speed: = 880 ft/min
Find D's speed: = 586.667 ft/min
:
Find the time (t) for M to overtake D
880t = 586.667(t+1)
880t = 586.667t + 1)
880t - 586.667t = 586.667
293.333t = 586.667
t =
t ~ 2 min
;
:
Find the distance: 2(880) = 1760 ft
Check the distance: 3(586.667) = 1760.0 ft

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