Distance Problem

[gmat009]

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

[vishubn]

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

[Scott@TargetTestPrep]

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