Question

On a vacation, Elwyn averaged 50 mph traveling from Denver to Minneapolis. 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 traveling time was 32 hours? Finish filling in the table (do not add any spaces when typing in your answer) and

Answer 1

850 miles

Explanation:

Distance = r * t

Going:

d = 50 * x = 50x

Returning:

d = 55*(32 - x)

= 55*32 - 55*x

= 1760 - 55x

As the distance covered is same,

50x = 1760 - 55x

50x + 55x = 1760

105x = 1760

x = 1760 ÷ 105

x = 17 hours

d = 17 * 50

= 17*50

= 850 miles