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
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-> 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
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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
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
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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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