SOLUTION: Emily and Ernie are going to job on a quarter-mile track. Emily can jog at a pace of 0 min/mile (=1/9 mile/min) while Ernie can jog at a pace of 11 min/mile (1/11= mile/min). If th

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Question 506745: Emily and Ernie are going to job on a quarter-mile track. Emily can jog at a pace of 0 min/mile (=1/9 mile/min) while Ernie can jog at a pace of 11 min/mile (1/11= mile/min). If they start at the same time, running in the same direction, how long will it take Emily to lap Ernie?
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Emily and Ernie are going to job on a quarter-mile track.
Emily can jog at a pace of 0 min/mile (=1/9 mile/min) while Ernie can jog at a pace of 11 min/mile (1/11= mile/min).
If they start at the same time, running in the same direction, how long will it take Emily to lap Ernie?
:
Let t = time (min) for this to happen
Write a distance equation, dist = speed * time
:
1%2F9t - 1%2F11t = .25
multiply by 99, results:
11t - 9t = 24.75
2t + 24.75
t = 24.75/2
t = 12.375 min