Anne traveled from City A to City B in 6 hours, and her speed was between 24 miles per hour and 46 miles per hour. John traveled from City A to City B along the same route in 2 hours, and his speed was between 44 miles per hour and 81 miles per hour. Which of the following could be the distance, in miles, from City A to City B?  Choices.
A) 95 B) 115 C) 125 D) 145 E) 180
Anne travels the same distance as John but takes longer.   6 hours : 2 hours   the ratio is 6:2 or 3:1   this means john travels 3 times her speed.   so if Anne travels at minimum 25 mph, john must travel at minimum 75 mph   if john travels 75 mph minimum the minimum distance traveled in 2 hours is 150 miles.   therefore the only answer possible is 180
<result>E</result>
Anne traveled from City A to City B in 6 hours, and her speed was between 24 miles per hour and 46 miles per hour. John traveled from City A to City B along the same route in 2 hours, and his speed was between 44 miles per hour and 81 miles per hour. Which of the following could be the distance, in miles, from City A to City B?