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Anne traveled from City A to City B in 4 hours, and her speed was betw [#permalink]
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26 Aug 2015, 00:07
Question Stats:
81% (01:25) correct 19% (01:21) wrong based on 190 sessions
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Re: Anne traveled from City A to City B in 4 hours, and her speed was betw [#permalink]
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26 Aug 2015, 01:28
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For Anne: Minimum Distance possible = Minimum Speed x Time = 25*4 = 100 miles Maximum Distance Possible = Max. Speed x Time = 45*4 = 180 miles For John: Minimum Distance possible = Minimum Speed x Time = 45*2 = 90 miles Maximum Distance Possible = Max. Speed x Time = 60*2 = 120 miles The range for distance traveled by John & Anne between A & B is from 100 to 120 miles Only Answer (B)  115 Miles is in between the range.
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Re: Anne traveled from City A to City B in 4 hours, and her speed was betw [#permalink]
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26 Aug 2015, 03:25
A is out since the minimum cannot be below 100. C,D,E are out because the maximum for the second car is 120.
Thus, B.
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Re: Anne traveled from City A to City B in 4 hours, and her speed was betw [#permalink]
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26 Aug 2015, 03:59
Bunuel wrote: Anne traveled from City A to City B in 4 hours, and her speed was between 25 miles per hour and 45 miles per hour. John traveled from City A to City B along the same route in 2 hours, and his speed was between 45 miles per hour and 60 miles per hour. Which of the following could be the distance, in miles, from City A to City B?
A. 95 B. 115 C. 125 D. 160 E. 180
Kudos for a correct solution. Distance range per Anne's speed : 25*4  4*45 > 100  180 ...(1) Distance range per John's speed : 45*2  60*2 > 90120 ....(2) (2) eliminates C,D,E and (1) eliminates A. B is the correct answer.



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Re: Anne traveled from City A to City B in 4 hours, and her speed was betw [#permalink]
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26 Aug 2015, 05:04
Bunuel wrote: Anne traveled from City A to City B in 4 hours, and her speed was between 25 miles per hour and 45 miles per hour. John traveled from City A to City B along the same route in 2 hours, and his speed was between 45 miles per hour and 60 miles per hour. Which of the following could be the distance, in miles, from City A to City B?
A. 95 B. 115 C. 125 D. 160 E. 180
Kudos for a correct solution. Using the given options, A.95. If distance=95 miles, and Anne takes 4 hours, then her speed=95/4=23.xx(Her speed is b/w 25 and 45 miles per hour) . So this is out B 115. If distance=115 miles, and Anne takes 4 hours, then her speed=115/4=28.75 miles per hours(looks good) and John takes 2 hours.His speed=115/2=57.5 miles per hours(looks good) Answer B



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Re: Anne traveled from City A to City B in 4 hours, and her speed was betw [#permalink]
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26 Aug 2015, 05:32
Bunuel wrote: Anne traveled from City A to City B in 4 hours, and her speed was between 25 miles per hour and 45 miles per hour. John traveled from City A to City B along the same route in 2 hours, and his speed was between 45 miles per hour and 60 miles per hour. Which of the following could be the distance, in miles, from City A to City B?
A. 95 B. 115 C. 125 D. 160 E. 180
Kudos for a correct solution. IMO : B Given 25 < \(S_a\) < 45 45 < \(S_b\) < 60 \(T_a\) = 4 \(T_b\) = 2 Distance is same for both \(S_a\)\(T_a\) = \(S_b\)\(T_b\) \(S_a\) * 4 = \(S_b\) * 2 2* \(S_a\) = \(S_b\)Thus from the above equation the condition is restricted to as follows 25 < \(S_a\) < 30 50 < \(S_b\) < 60 As if \(S_a\) > 30 then \(S_b\) must be >60 which is not possible Thus sub in Distance = \(S_b\) * \(T_b\) Distance = 2 * \(S_b\) Thus Distance varies from 100 < Distance < 120Thus from the options only 115 satisfies this condition
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Re: Anne traveled from City A to City B in 4 hours, and her speed was betw [#permalink]
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26 Aug 2015, 08:42
Time spent by John is half the time than the time spent by Anne, as the speed of Anne is beteween the 2545 range, John could only make the distance at a speed range from 50 to 60, if we multiply this by 2, the range of distances are from 100 to 120, so the only answer compliant with that is B



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Re: Anne traveled from City A to City B in 4 hours, and her speed was betw [#permalink]
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26 Aug 2015, 10:23
The minimum possible distance = 4*25=100 that eliminates option A The maximum possible Distance =2*60=120 which eliminates C , D and E thus we are then left with : B



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Re: Anne traveled from City A to City B in 4 hours, and her speed was betw [#permalink]
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24 Jan 2016, 09:04
the same route in 2 hours, and his speed was between 45 miles per hour and 60 miles per hour. Which of the following could be the distance, in miles, from City A to City B?
A. 95 B. 115 C. 125 D. 160 E. 180
Distance range per Anne's speed : 25*4  4*45 > 100  180 ...(1)
Distance range per John's speed : 45*2  60*2 > 90120 ....(2)
(2) eliminates C,D,E and (1) eliminates A.
B is the correct answer.



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Re: Anne traveled from City A to City B in 4 hours, and her speed was betw [#permalink]
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28 Jan 2016, 12:08
Excellent question. Quick Question: How do I add this question on my downloadable PDF file???
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Anne traveled from City A to City B in 4 hours, and her speed was betw [#permalink]
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28 Jan 2016, 12:17
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Re: Anne traveled from City A to City B in 4 hours, and her speed was betw [#permalink]
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20 Sep 2017, 15:53
Bunuel wrote: Anne traveled from City A to City B in 4 hours, and her speed was between 25 miles per hour and 45 miles per hour. John traveled from City A to City B along the same route in 2 hours, and his speed was between 45 miles per hour and 60 miles per hour. Which of the following could be the distance, in miles, from City A to City B?
A. 95 B. 115 C. 125 D. 160 E. 180 Let’s use the minimum and maximum speeds. Minimum for Anne: 25 x 4 = 100 miles Maximum for Anne: 45 x 4 = 180 miles Thus: 100 < d < 180 Minimum for John: 45 x 2 = 90 miles Maximum for John: 60 x 2 = 120 miles Thus: 90 < d < 120 Using both inequalities, we have: 100 < d < 120 Answer: B
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Re: Anne traveled from City A to City B in 4 hours, and her speed was betw
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