SOLUTION: Connie can type 600 words in 5 minutes less than it takes katie to type 600 words. If connie types at a rate of 20 words per minute faster than katie types, find the typing rate o

Question 187120This question is from textbook
: Connie can type 600 words in 5 minutes less than it takes katie to type 600 words. If connie types at a rate of 20 words per minute faster than katie types, find the typing rate of each woman. This question is from textbook

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Connie can type 600 words in 5 minutes less than it takes katie to type 600 words. If connie types at a rate of 20 words per minute faster than katie types, find the typing rate of each woman.
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Katie DATA:
time = x min/600 wds ; rate = 600 wds/x min
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Connie DATA:
time = (x-5) min/600 wds ; rate = 600wds/(x-5)min
-------------------------------------------------------
Equations:
Connie rate - Katie rate= 20
600/(x-5) - (600/x) = 20
3000 = 20x(x-5)
x(x-5)= 150
x^2 -5x - 150 = 0
(x-15)(x+10) = 0
Positive solution:
x = 15 minutes (time for Katie to type 600 wds).
x-5 = 10 minutes (time for Connie to type 600 wds)
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Cheers,
Stan H.
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