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After driving to a riverfront parking lot, Bob plans to run

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After driving to a riverfront parking lot, Bob plans to run [#permalink] New post 06 Dec 2012, 09:19
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55% (02:48) correct 44% (01:54) wrong based on 10 sessions
After driving to a riverfront parking lot, Bob plans to run south along the river, turn around, and return to the parking lot, running north along the same path. After running 3.25 miles south, he decides to run for only 50 minutes more. If Bob runs at a constant rate of 8 minutes per mile, how many miles farther south can he run and still be able to return to the parking lot in 50 minutes?

(A) 1.5
(B) 2.25
(C) 3.0
(D) 3.25
(E) 4.75
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Re: After driving to a riverfront parking lot, Bob plans to run [#permalink] New post 06 Dec 2012, 09:28
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Walkabout wrote:
After driving to a riverfront parking lot, Bob plans to run south along the river, turn around, and return to the parking lot, running north along the same path. After running 3.25 miles south, he decides to run for only 50 minutes more. If Bob runs at a constant rate of 8 minutes per mile, how many miles farther south can he run and still be able to return to the parking lot in 50 minutes?

(A) 1.5
(B) 2.25
(C) 3.0
(D) 3.25
(E) 4.75


Bob runs at a constant rate of 8 minutes per mile, thus in 50 minutes he can cover 50/8=6.25 miles.

Therefore the total round-trip distance Bob covers is 3.25+6.25=9.5 miles.

Half of that distance he runs south, so he runs 9.5/2=4.75 miles south, and since he has already run 3.25 miles, then he can run 4.75-3.25=1.5 miles farther south .

Answer; A.
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Re: After driving to a riverfront parking lot, Bob plans to run [#permalink] New post 11 Jan 2013, 23:02
How do we know that he ran half the distance south ? Thanks

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Re: After driving to a riverfront parking lot, Bob plans to run [#permalink] New post 12 Jan 2013, 05:52
Walkabout wrote:
After driving to a riverfront parking lot, Bob plans to run south along the river, turn around, and return to the parking lot, running north along the same path. After running 3.25 miles south, he decides to run for only 50 minutes more. If Bob runs at a constant rate of 8 minutes per mile, how many miles farther south can he run and still be able to return to the parking lot in 50 minutes?

(A) 1.5
(B) 2.25
(C) 3.0
(D) 3.25
(E) 4.75

shahir16 wrote:
How do we know that he ran half the distance south ? Thanks


Hi Shair. The question states that Bob will run south along the river and then turn around to return to the parking lot. Since there are only two legs to the journey, namely south and back, this implies that Bob will run half the total distance south.

Hope that helps.
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Re: After driving to a riverfront parking lot, Bob plans to run [#permalink] New post 23 Feb 2013, 07:27
rate of 8min per mile implies to cover 3.25 miles it has taken Bob 3.5*8mins = 26mins

Total time for the entire round trip is 26+50 = 76mins, so half way is covered in 38mins. If Bob has already travelled 26mins then the remaining time for one way is 12mins.

In 12mins Bob travels \frac{12}{8} = 1.5 miles
Re: After driving to a riverfront parking lot, Bob plans to run   [#permalink] 23 Feb 2013, 07:27
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