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James took a 3-hour bike ride. In the second hour he travlle

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James took a 3-hour bike ride. In the second hour he travlle [#permalink] New post 09 Sep 2013, 00:22
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James took a 3-hour bike ride. In the second hour he travlled 18 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?

A) 54.0
B) 54.9
C) 55.5
D) 57.0
E) 63.0

Please provide detailed explanations!
[Reveal] Spoiler: OA

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Re: James took a 3-hour bike ride. In the second hour he travlle [#permalink] New post 09 Sep 2013, 00:41
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fozzzy wrote:
James took a 3-hour bike ride. In the second hour he travlled 18 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?

A) 54.0
B) 54.9
C) 55.5
D) 57.0
E) 63.0

Please provide detailed explanations!


Let the distance travelled in the first hour be x. Thus, 1.2x = 18 , x = 15. Now, the distance travelled in the 3rd hour = \(18+\frac{1}{4}*18\) = The only option ending with a 0.5 in the decimal's place is C.
C.
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Re: James took a 3-hour bike ride. In the second hour he travlle [#permalink] New post 09 Sep 2013, 00:51
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Just to clarify in first hour 15 miles travelled in second hour 18 miles ( 3 additional miles) and 3rd hour 22.5 miles ( 4.5 miles travelled)

The numbers in the bracket represents the net increase.
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Re: James took a 3-hour bike ride. In the second hour he travlle   [#permalink] 09 Sep 2013, 00:51
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