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Ben is driving on the highway at x miles per hour. (One mile equals 5,

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Ben is driving on the highway at x miles per hour. (One mile equals 5,  [#permalink]

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New post 23 Aug 2015, 10:40
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Ben is driving on the highway at x miles per hour. (One mile equals 5,280 feet.) Ben's tires have a circumference of y feet. Which of the following expressions gives the number of revolutions each wheel turns in one hour?

A. 5,280(x/y)
B. 5,280(y/x)
C. 5,280(xy)
D. 5,280/(xy)
E. (xy)/5,280

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Re: Ben is driving on the highway at x miles per hour. (One mile equals 5,  [#permalink]

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New post 23 Aug 2015, 10:49
shasadou wrote:
Ben is driving on the highway at x miles per hour. (One mile equals 5,280 feet.) Ben's tires have a circumference of y feet. Which of the following expressions gives the number of revolutions each wheel turns in one hour?

A. 5,280(x/y)
B. 5,280(y/x)
C. 5,280(xy)
D. 5,280/(xy)
E. (xy)/5,280


In one hour, at the rate of x miles per hour, Ben covers x miles, so 5,280x feet.

The number of revolutions = distance/circumference = 5,280x/y.

Answer: A.

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Re: Ben is driving on the highway at x miles per hour. (One mile equals 5,  [#permalink]

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New post 23 Aug 2015, 11:14
Hi shasadou,

This question can be solved by TESTing VALUES.

We're told the speed is X miles per hour and the circumference of the tires is Y feet. The question asks how many revolutions each wheel will turn in 1 hour.

Let's keep the values small so the math will be easy:

X = 2
Y = 4

Now the speed is 2 miles per hour, so that's 2(5280 feet) per hour. I'm not going to do that math just yet though….

Since the circumference of the tires is 4 feet, we can figure out the number of revolutions by dividing the distance by 4…

2(5280)/4 = 5280/2 = 2640

When you plug in the above values for X and Y, only one answer matches 2640…

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Re: Ben is driving on the highway at x miles per hour. (One mile equals 5,  [#permalink]

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New post 08 Feb 2017, 10:25
1
shasadou wrote:
Ben is driving on the highway at x miles per hour. (One mile equals 5,280 feet.) Ben's tires have a circumference of y feet. Which of the following expressions gives the number of revolutions each wheel turns in one hour?

A. 5,280(x/y)
B. 5,280(y/x)
C. 5,280(xy)
D. 5,280/(xy)
E. (xy)/5,280



We are given that Ben is driving at an average rate of x mph and we need to determine how many revolutions each wheel turns in one hour.

Since 1 mile = 5,280 feet, Ben drives 5280x feet in one hour.

Thus, the number of revolutions is distance/circumference = (5,280x)/y = 5280(x/y).

Answer: A
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Re: Ben is driving on the highway at x miles per hour. (One mile equals 5,  [#permalink]

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New post 11 Feb 2018, 07:19
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Re: Ben is driving on the highway at x miles per hour. (One mile equals 5, &nbs [#permalink] 11 Feb 2018, 07:19
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