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
OA is B
Distance Problem
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Hi
this was some !
Distances are same
(25-45)*4=(45-60)*2
so the distance is between
100-180 / 90-120
from this we know the distance range is 101-120
fro mthe answer chocie it is 115 is the answer
Vishu
this was some !
Distances are same
(25-45)*4=(45-60)*2
so the distance is between
100-180 / 90-120
from this we know the distance range is 101-120
fro mthe answer chocie it is 115 is the answer
Vishu
GMAT/MBA Expert
- Scott@TargetTestPrep
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Let's use the minimum and maximum speeds.gmat009 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
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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