Question
It takes a plane 40 minutes longer to fly from Boston to Los Angeles at 525 miles per hour than it does to return at 600 miles per hour. How far apart are the cities?
Answers
Let T be the shorter of the two times (in hours), and D be the distance
600 T = D
525 (T + 2/3) = D = 525 T + 350
600 T = 525 T + 350
75 T = 350
T = 4 2/3 hours
D = 600 T = 2800 miles
600 T = D
525 (T + 2/3) = D = 525 T + 350
600 T = 525 T + 350
75 T = 350
T = 4 2/3 hours
D = 600 T = 2800 miles