A certain toll station on a highway has 7 tollbooths, and each tollbooth collects 0.75 dollars...

Question

A certain toll station on a highway has 7 tollbooths, and each tollbooth collects 0.75 dollars from each vehicle that passes it. From 6 o'clock yesterday morning to 12 o'clock midnight, vehicles passed each of the tollbooths at the average rate of 4 vehicles per minute. Approximately how much money did the toll station collect during that time period?

GMAT Panda · Accepted Answer

Approximately 23000 We create variables for the number of tollbooths, the toll per vehicle, and the rate of vehicles passing each booth. B = 7 booths We calculate the total number of minutes between 6:00 AM and midnight. 24 - 6 = 18 hours 18 60 = 1080 minutes We find revenue per minute per booth, then total per booth, then for all booths, and finally round the result. P = 0.75 dollars per vehicle R = 4 vehicles per minute P R = 0.75 4 = 3 dollars per minute per booth 3 1080 = 3240 dollars per booth 3240 B = 3240 7 = 22680 dollars 22680 23000 dollars

Explanation	Calculations	Help
$We create variables for the number of tollbooths, the toll per vehicle, and the rate of vehicles passing each booth.$	$B = 7 booths$
$We calculate the total number of minutes between 6:00 AM and midnight.$	$24 - 6 = 18 hours 18 \times 60 = 1080 minutes$
$We find revenue per minute per booth, then total per booth, then for all booths, and finally round the result.$	$P = 0.75 dollars per vehicle R = 4 vehicles per minute P \times R = 0.75 \times 4 = 3 dollars per minute per booth 3 \times 1080 = 3240 dollars per booth 3240 \times B = 3240 \times 7 = 22680 dollars 22680 \approx 23000 dollars$

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