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There were 60 runners to start the race. In the first half of the race,1/3 of them dropped out. In the second half of the race,1/4 of the remaining runners dropped out. How many runners finished the race?
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Mar 4, 2016
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There were 60 runners to start the race. In the first half of the race,1/3 of them dropped out. In the second half of the race,1/4 of the remaining runners dropped out. How many runners finished the race?
Mathematics
high-school
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1/3 60 = 20 : 40 runners left : 1/4 40 = 10 : 30 runners left
Anticro
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Mar 5, 2016
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Anticro
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In the question, it is already given that the total number of runners in the race is 60 and out of them 1/3 dropped out in the first half. In the second half 1/4 of the remaining runners dropped out.
Now
Total number of runners in the race = 60
Number of runners that dropped out in the first half = 1/3 * 60
= 20
Number of runners remaining = 60 - 20
= 40
Number of runners dropping out in the second half = 40 * 1/4
= 10
Then the number of runners that finished the race = 40 - 10
= 30
Then 30 runners completed the race.
Dmazzoni
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Mar 10, 2016
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Dmazzoni
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