The number of flights leaving a certain airport doubles during every one-hour period between its 9 A.M. opening and noon; after noon, the number of flights leaving from the airport doubles during every two-hour period. If 4 flights left from the airport between 9 and 10 a.m., how many flights left the airport between 2 and 4 P.M.?
(A) 32
(B) 48
(C) 64
(D) 128
(E) 256
[spoiler]OA=C[/spoiler]
Source: Princeton Review
The number of flights leaving a certain airport doubles during every one-hour period between its 9 A.M. opening and noon
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Gmat_mission
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Solution:Gmat_mission wrote: ↑Sun Jun 14, 2020 2:40 pmThe number of flights leaving a certain airport doubles during every one-hour period between its 9 A.M. opening and noon; after noon, the number of flights leaving from the airport doubles during every two-hour period. If 4 flights left from the airport between 9 and 10 a.m., how many flights left the airport between 2 and 4 P.M.?
(A) 32
(B) 48
(C) 64
(D) 128
(E) 256
[spoiler]OA=C[/spoiler]
We can tabulate the number of planes every hour before noon and every two hours after noon:
Between 9 am and 10 am: 4
Between 10 am and 11 am: 8
Between 11 am and noon: 16
Between noon and 2 pm: 32
Between 2 pm and 4 pm: 64
Answer: C
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