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# Points A and B are separated by 50 miles on a straight road. Cyclist A

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Math Expert
Joined: 02 Sep 2009
Posts: 58320
Points A and B are separated by 50 miles on a straight road. Cyclist A  [#permalink]

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05 Feb 2019, 04:32
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Difficulty:

5% (low)

Question Stats:

98% (01:05) correct 2% (03:08) wrong based on 48 sessions

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Points A and B are separated by 50 miles on a straight road. Cyclist A leaves point A, heading toward point B, at a constant speed of 15 miles per hour. At the same time, cyclist B leaves point B, traveling toward point A, at a constant speed of 10 miles per hour. After how many minutes have elapsed will the two meet?

A. 115
B. 120
C. 125
D. 130
E. 135

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Re: Points A and B are separated by 50 miles on a straight road. Cyclist A  [#permalink]

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05 Feb 2019, 05:56
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Bunuel wrote:
Points A and B are separated by 50 miles on a straight road. Cyclist A leaves point A, heading toward point B, at a constant speed of 15 miles per hour. At the same time, cyclist B leaves point B, traveling toward point A, at a constant speed of 10 miles per hour. After how many minutes have elapsed will the two meet?

A. 115
B. 120
C. 125
D. 130
E. 135

relative speed = 15+10 = 25 mph
d= 50
t= 50/25 = 2 hrs = 2 * 60 = 120 mins
IMO B
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Re: Points A and B are separated by 50 miles on a straight road. Cyclist A  [#permalink]

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06 Feb 2019, 19:44
Bunuel wrote:
Points A and B are separated by 50 miles on a straight road. Cyclist A leaves point A, heading toward point B, at a constant speed of 15 miles per hour. At the same time, cyclist B leaves point B, traveling toward point A, at a constant speed of 10 miles per hour. After how many minutes have elapsed will the two meet?

A. 115
B. 120
C. 125
D. 130
E. 135

We can let the time traveled = n and create the distance equation:

15n + 10n = 50

25n = 50

n = 2 hours, which is 120 minutes

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Re: Points A and B are separated by 50 miles on a straight road. Cyclist A  [#permalink]

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06 Feb 2019, 19:52
Bunuel wrote:
Points A and B are separated by 50 miles on a straight road. Cyclist A leaves point A, heading toward point B, at a constant speed of 15 miles per hour. At the same time, cyclist B leaves point B, traveling toward point A, at a constant speed of 10 miles per hour. After how many minutes have elapsed will the two meet?

A. 115
B. 120
C. 125
D. 130
E. 135

how many minutes have elapsed will the two meet will be as same as the time when they will meet
Relative speed = 15 + 10 = 25 m/h

Time = Distance / speed

= 50 /25
= 2 hrs

Total time in minutes 120.

B
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Re: Points A and B are separated by 50 miles on a straight road. Cyclist A   [#permalink] 06 Feb 2019, 19:52
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