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USA - Middle School Tournaments
Math Invitational for Girls
2019 MIG
15
15
Part of
2019 MIG
Problems
(1)
2019 Individual #15
Source:
5/1/2022
Alice, Bob, and Catherine decide to have a race. Alice runs at a speed of
3
3
3
feet per second, and Bob runs at a speed of
5
5
5
feet per second. In the end, Bob finishes the same amount of time before Catherine as Catherine finishes before Alice. What was Catherine's speed, in feet per second?
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15
4
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4
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17
4
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9
2
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impossible to determine
<span class='latex-bold'>(A) </span>\dfrac{15}4\qquad<span class='latex-bold'>(B) </span>4\qquad<span class='latex-bold'>(C) </span>\dfrac{17}4\qquad<span class='latex-bold'>(D) </span>\dfrac92\qquad<span class='latex-bold'>(E) </span>\text{impossible to determine}
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4
15
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4
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4
17
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2
9
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impossible to determine
2019 Individual