The distance between the two cities is about how many miles

Question

On vacation, Lee Hong averaged 50 mph traveling from city A to city B. Returning by a different route that covered the same number of miles, he averaged 55 mph. What is the distance between the two cities if his total travel time was 32 hours

Answer 1

Let D = distance between A and B

Time (A to B) + Time (B to A) = D/50 + D/55 = 32

Solve for D.          D = 32 x 50 x 55/105 = 838.1 miles

Answer 2

distance=rate*time

d=50*t

d=55*(32-t)

50t=55(32-t)

50t=1760-55t

50t+55t=1760

105t=1760

t=1760/105

t=16.7619 hours

d=50*16.7619

d=838.09 miles