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A certain toll station on a highway has 7 tollbooths, and each tollboo

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A certain toll station on a highway has 7 tollbooths, and each tollboo  [#permalink]

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New post 30 Jul 2018, 07:03
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Question Stats:

73% (01:54) correct 27% (03:57) wrong based on 234 sessions

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

A. $1,500
B. $3,000
C. $11,500
D. $23,000
E. $30,000


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Re: A certain toll station on a highway has 7 tollbooths, and each tollboo  [#permalink]

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New post 30 Jul 2018, 07:34
Bunuel wrote:
A certain toll station on a highway has 7 tollbooths, and each tollbooth collects $0.75 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?


4 Vehicle in 1 Minute
4 Vehicle*60 in 60 Minute(1 Hour) = 240 Vehicle in 1 Hour
Total time duration (6 o'clock yesterday morning to 12 o'clock midnight) = 18 hrs
Total tollbooths = 7
Cost of each vehicle passed = $0.75

Therefore,
Total cost collected = 240 * 18 * 7 * 0.75 = 22680 = 23000 (approx)

Hence, D.
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Re: A certain toll station on a highway has 7 tollbooths, and each tollboo  [#permalink]

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New post 30 Jul 2018, 07:35
From 6 am to 12 am - 18hrs
Vehicles per minute - 4
Vehicles per hour - 60×4 = 240
Therefore total number of vehicles passed - approx = 250×18 = 4500
Number of toll booths = 7
Money collected = 7×4500×0.75 = 23000$

Hence D (I've rounded up a few numbers above for easy calculation)

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A certain toll station on a highway has 7 tollbooths, and each tollboo  [#permalink]

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New post 30 Jul 2018, 09:08
Bunuel wrote:
A certain toll station on a highway has 7 tollbooths, and each tollbooth collects $0.75 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?

A. $1,500
B. $3,000
C. $11,500
D. $23,000
E. $30,000


NEW question from GMAT® Quantitative Review 2019


(PS01443)


OA:D
Total hours: \(18 hours\)
Total Vehicles passed per toll booth per hour : \(4*60 =240\)
Toll collected per vehicle :\($0.75\)
Number of Toll booths:\(7\)
Total money collected = Total hours * Total Vehicles passed per toll booth per hour *Toll collected per vehicle *Number of Tollbooths
= \($18*240*0.75*7=$22680\)
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Re: A certain toll station on a highway has 7 tollbooths, and each tollboo  [#permalink]

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New post 01 Aug 2018, 16:37
Bunuel wrote:
A certain toll station on a highway has 7 tollbooths, and each tollbooth collects $0.75 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?

A. $1,500
B. $3,000
C. $11,500
D. $23,000
E. $30,000


We can create the expression:

7 tollbooths x $0.75 per vehicle x 4 vehicles per minute x 60 minutes x 18 hours = $22,680 ≈ $23,000

Answer: D
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Re: A certain toll station on a highway has 7 tollbooths, and each tollboo  [#permalink]

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New post 19 Oct 2018, 05:23
Bunuel wrote:
A certain toll station on a highway has 7 tollbooths, and each tollbooth collects $0.75 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?

A. $1,500
B. $3,000
C. $11,500
D. $23,000
E. $30,000


NEW question from GMAT® Quantitative Review 2019


(PS01443)


6AM to 6PM = 12 hours then another 6 hours to midnight total 18 hours.

18 * 60 = 1,080 minutes * 4 cars = 4,320 cars passing.

Since the cost each car is 0.75 which equals 3/4

so 3/4 * 4,320 = 3 * 1,080 * 7(for the tollbooths) = 21 * 1,080

No need to go through tedious calculations 20 * 1,000 = 20,000 there is only one answer with such thousands digit.

Answer choice D
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Re: A certain toll station on a highway has 7 tollbooths, and each tollboo &nbs [#permalink] 19 Oct 2018, 05:23
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