SOLUTION: The winning times (in seconds) W(t) and M(t) for the Olympic 1500 meter run for women and men, respectively, can be modeled by the system W(t)=&#8722;0.2t+241.6 M(t)=&#8722;

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Question 967197: The winning times (in seconds) W(t) and M(t) for the Olympic 1500 meter run for women and men, respectively, can be modeled by the system
W(t)=−0.2t+241.6
M(t)=−0.11t+215.3
where t is the years since 1972.
When will the women's winning time be equal to the men's winning time?

What will that winning time be?
Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website!
W(t) = −0.2t +241.6
M(t)= −0.11t +215.3
to find when the women's winning time will be equal to the men's winning time set the two equations equal to each other and solve for t.
−0.2t +241.6 = −0.11t +215.3
add -0.11t to both sides of the =
-0.09t +241.6 = 215.3
subtract 241.6 from both sides of the =
-0.09t = -26.3
t = 292.222222222 approx 292.2, therefore
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1972 + 292.2 = 2264.2 when winning times are equal
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now substitute 292.2 for t in first equation
-0.2(292.2) + 241.6 = 183.16, therefore
the winning time is 183.16 seconds
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SOLUTION: The winning times (in seconds) W(t) and M(t) for the Olympic 1500 meter run for women and men, respectively, can be modeled by the system W(t)=&#8722;0.2t+241.6 M(t)=&#8722;

SOLUTION: The winning times (in seconds) W(t) and M(t) for the Olympic 1500 meter run for women and men, respectively, can be modeled by the system W(t)=−0.2t+241.6 M(t)=−