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Bunuel
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A foot race had 36 teams of a dozen runners each. By noon, 4/9 11 Jun 2019, 02:11
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89% (01:12) correct 11% (01:59) wrong based on 176 sessions

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A foot race had 36 teams of a dozen runners each. By noon, \(\frac{4}{9}\) of the teams had finished the race, and 70 percent of the remaining teams finished the race by one o' clock. How many teams had not finished the race by one o' clock?

A. 1
B. 2
C. 4
D. 6
E. 8
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D
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A foot race had 36 teams of a dozen runners each. By noon, 4/9 11 Jun 2019, 02:41
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Bunuel
A foot race had 36 teams of a dozen runners each. By noon, \(\frac{4}{9}\) of the teams had finished the race, and 70 percent of the remaining teams finished the race by one o' clock. How many teams had not finished the race by one o' clock?

A. 1
B. 2
C. 4
D. 6
E. 8
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36*(1-4/9)*(1-.7)=6 IMO D
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A foot race had 36 teams of a dozen runners each. By noon, 4/9 11 Jun 2019, 07:14
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Bunuel
A foot race had 36 teams of a dozen runners each. By noon, \(\frac{4}{9}\) of the teams had finished the race, and 70 percent of the remaining teams finished the race by one o' clock. How many teams had not finished the race by one o' clock?

A. 1
B. 2
C. 4
D. 6
E. 8
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By noon, 4/9 teams = 4/9*36 = 16 teams finished the race
Remaining teams = 20

By 1 pm, 70% of remaining = 70/100*20 = 14 teams finished the race
Teams remaining after 1 pm = 20 - 14 = 6 teams

Option D

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A foot race had 36 teams of a dozen runners each. By noon, 4/9 12 Jun 2019, 02:58
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Solution

Given:
    • A foot race had 36 teams of a dozen runners each
    • \(\frac{4}{9}\) of the teams finished the race by noon
    • 70% of the remaining teams finished the race by one o’clock

To Find:
    • The number of teams that had not finished the race by one o’clock

Approach & Working Out:
    • The number of teams that had not finished the race by one o’clock = \(36 – (\frac{4}{9}) * 36 – (\frac{70}{100}) * (1 - \frac{4}{9}) * 36 = 36 – 16 – 14 = 6\)

Hence, the correct answer is Option D
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A foot race had 36 teams of a dozen runners each. By noon, 4/9 14 Jun 2019, 10:18
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A foot race had 36 teams of a dozen runners each. By noon, \(\frac{4}{9}\) of the teams had finished the race, and 70 percent of the remaining teams finished the race by one o' clock. How many teams had not finished the race by one o' clock?

A. 1
B. 2
C. 4
D. 6
E. 8
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By noon, 5/9 x 36 = 20 teams remained unfinished.

By one o’clock, 0.3 x 20 = 6 teams had not finished the race.

Answer: D
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A foot race had 36 teams of a dozen runners each. By noon, 4/9 20 Sep 2019, 02:04
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Bunuel
A foot race had 36 teams of a dozen runners each. By noon, \(\frac{4}{9}\) of the teams had finished the race, and 70 percent of the remaining teams finished the race by one o' clock. How many teams had not finished the race by one o' clock?

A. 1
B. 2
C. 4
D. 6
E. 8
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Official Explanation



In this question, the number of runners on each team has been given to us, but it doesn't seem to be important. We are asked how many teams finished, and all of useful information given to us is in terms of teams.

Since we have 36 teams, and 4/9 of them finished by noon, the number that finished by noon is

36*4/9 = 16

Then, we are told, 70% of the remaining teams finished. How many were remaining after 16 finished? The number remaining was 20, since 36 - 16 = 20. So 70% of 20 teams finished by one o'clock. That number is

0.7*2 = 1.4

Note that, in both statements, the fraction "of" a number or the percent "of" a number indicates multiplication of the fraction or percent by that number. Anyway, 14 of the remaining 20 just finished, so there are 6 teams that haven't finished yet. That's what the question is asking for.

The correct answer is (D).
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A foot race had 36 teams of a dozen runners each. By noon, 4/9 14 Oct 2019, 21:26
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Bunuel
A foot race had 36 teams of a dozen runners each. By noon, \(\frac{4}{9}\) of the teams had finished the race, and 70 percent of the remaining teams finished the race by one o' clock. How many teams had not finished the race by one o' clock?

A. 1
B. 2
C. 4
D. 6
E. 8
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\(5/9*0.3*36=6\)

Note: Each team is of dozen runners is irrelevant.
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A foot race had 36 teams of a dozen runners each. By noon, 4/9 02 Apr 2024, 05:41
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