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# It took Richard 1/2 hour to cycle from his house to the

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Manager
Joined: 22 Jun 2008
Posts: 104
Schools: Darden School of Business (Class of 2012)
It took Richard 1/2 hour to cycle from his house to the [#permalink]

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17 Aug 2008, 06:49
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It took Richard 1/2 hour to cycle from his house to the office yesterday, was the distance that he cycled greater than 6 miles? (Note 1mile = 5280 feet)

a) The average speed at which Richard cycled was greater than 16 feet per second.

b) The average speed at which Ricarhd cycled was less than 18 feet per second.

Pls. help to understand why the OA es E.
Director
Joined: 10 Sep 2007
Posts: 934

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17 Aug 2008, 07:11
Rephrased question: Did Richard travel more than 31680 feet in 30 mins?

a) In 30 mins he travels more than 30*60*16 = 28800. But not clear how much more if he traveled equal to or more than 31680 then question is answered.

b) In 30 mins he travels less than 30*60*18 = 32400. But not clear how much less if he traveled equal to or less than 31680 then question is answered.

Even after combining we know that range is
28800<R<32400

So there is no guarantee that he traveled 31680 feet. Thereby Answer E.
Re: DS: motion   [#permalink] 17 Aug 2008, 07:11
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