SOLUTION: I've been working on this problem and just can't quite get it. Lauris and Sheri are approaching the same intersection. Laurie is 2 miles north of the intersection traveling at 4

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Question 342219: I've been working on this problem and just can't quite get it.
Lauris and Sheri are approaching the same intersection. Laurie is 2 miles north of the intersection traveling at 45 mph. Sheri is 1 mile east of the intersection and traveling at 30 mph. Express distance between them as a function of time traveled.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Lauris and Sheri are approaching the same intersection. Laurie is 2 miles north of the intersection traveling at 45 mph. Sheri is 1 mile east of the intersection and traveling at 30 mph. Express distance between them as a function of time traveled.
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L's distance from the intersection is 2 - 45t miles = (t in hours)
S's distance is 1 - 30t miles
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The distance between them is sqrt%28L%5E2+%2B+S%5E2%29
d = sqrt%28%282-45t%29%5E2+%2B+%281-30%29%5E2%29
d = sqrt%282925t%5E2+-+240t+%2B+5%29 miles