LUANDATO wrote:A foot race had 36 teams of a dozen runners each. By noon, 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
Since 4/9 of the 36 teams finished by noon, the number of teams finished by noon = (4/9)(36) = 16.
Remaining teams = (total teams in the race) - (teams finished by noon) = 36-16 = 20.
Since 70% of the 20 remaining teams finished by 1pm, the number of teams finished between noon and 1pm = (70/100)(20) = 14.
Thus:
Number of teams not finished by 1pm = (total teams in the race) - (teams finished by noon) - (teams finished between noon and 1pm) = 36 - 16 - 14 = 6.
The correct answer is
D.
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