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# Time question

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Intern
Joined: 08 Oct 2009
Posts: 8

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08 Oct 2009, 15:21
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88% (02:12) correct 13% (03:39) wrong based on 9 sessions

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2. Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?

A. 2 hours
B. 4 ½ hours
C. 5 ¾ hours
D. 6 hours
E. 7 ½ hours
Math Expert
Joined: 02 Sep 2009
Posts: 39721
Re: Time question [#permalink]

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08 Oct 2009, 15:46
timmaxwell8 wrote:
2. Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?

A. 2 hours
B. 4 ½ hours
C. 5 ¾ hours
D. 6 hours
E. 7 ½ hours

Catches up means they will cover the same distance --> First cyclist's distance=rate*time=6*(x+3)=Second cyclist's distance=rate*time=10*x --> 6x+18=10x --> x=18/4=4 ½ hours B.

Note that we are asked: "How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?" So it's better x to be the second cyclist's travel time and x+3 the first one's to get the answer right away.
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Re: Time question   [#permalink] 08 Oct 2009, 15:46
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# Time question

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