Jason is planning a parking garage that will have 12 floors. Every 3rd floor has a gate where drivers have to show ID, which takes two minutes. To get from one floor to the next, drivers have to drive 800 feet at 10 feet/second. How long, in seconds, does it take to get to the bottom of the garage from the top?
Thoughts? Step-by-step reasoning:
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First find the total number of gates someone has to pass through: 12 floors / 3 floors / gate = 4 gates. Then find the total time someone spends waiting at the gates: 4 gates * 2 minutes / gate = 8 minutes. Then convert that time to seconds: 8 minutes * 60 seconds / minute = 480 seconds. Then find the time to drive through one floor in seconds: 800 feet / 10 feet / second = 80 seconds. Then multiply the time per floor by the number of floors to find the total driving time: 80 seconds / floor * 12 floors = 960 seconds. Then add the total driving time to the total time waiting at the gates to find the total time to get to the bottom: 960 seconds + 480 seconds = 1440 seconds.
Thus, the answer is 1440.
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