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PS: Conversion of units

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PS: Conversion of units [#permalink] New post 20 Jun 2009, 11:31
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Q14:
How many seconds will it take for a car that is traveling at a constant rate of 45 miles per hour to travel a distance of 22 yards? (1 mile = 1,160 yards)

A. 8
B. 9
C. 10
D. 11
E. 12
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Re: PS: Conversion of units [#permalink] New post 20 Jun 2009, 14:08
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This question has two problems:
1. 1 mile = 1760 yards and not 1160 yards.
2. All answer choices are incorrect using either conversion from miles to yards.

Here's the approach:

\text{rate } \times \text{time } = \text{ distance}

Given

\text{rate} = \frac{\text{45 miles}}{\text{hr}}

Converting miles per hour to yards per sec

= \frac{\text{45 miles}}{\text{hr}} \times \frac{\text{1 hr}}{\text{60 mins}} \times \frac{\text{1 min}}{\text{60 sec}} \times \frac{\text{1760 yards}}{\text{1 mile}}

=\frac{\text{22 yards}}{\text{sec}}

Asking time in secs to travel a distance of 22 yards

\text{rate } \times \text{time } = \text{ distance}

\Rightarrow \text{time } = \frac{\text{ distance}}{\text{rate}}

\Rightarrow \text{time } = \frac{\text{22 yards}}{\text{22 yards per sec}}

\Rightarrow \text{time } = 1 \text sec

This is not in the answer choice.

Also if you use the conversion rate of 1 mile = 1160 yards then time = 1.5 sec which is also not in the answer choices.
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Re: PS: Conversion of units [#permalink] New post 22 Jun 2009, 19:41
Hi Nookway,

I think that your calculation and logic are correct. There must have been a type in the question/answer. To begin with, 1 mile = 1760 yard as you indicated. Second, Official Answer to my question book is C (or 10 Mile).

There must have been a typo to indicate 10 instead of 1.0 mile in choice C.

But I am glad to see that your logic matches mine and that I was not crazy. Thank you very much for your explanation!!
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Re: PS: Conversion of units [#permalink] New post 07 Jan 2012, 12:49
That's right nookway
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Re: PS: Conversion of units [#permalink] New post 07 Jan 2012, 20:54
Can't believe I just spent 5 minutes staring at the answer and double checking my calculation! I get between 1-1.5 seconds. Correct nookway!
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Re: PS: Conversion of units [#permalink] New post 07 Jan 2012, 22:43
Please put up the correct question. There is no point solving a wrong question.
Re: PS: Conversion of units   [#permalink] 07 Jan 2012, 22:43
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