SOLUTION: On a vacation, Johny averaged 50 mph traveling from Denver to Minneapolis. Returning by a different route that covered the same number of miles, he averaged 50 mph. What is the dis

Question 78288: On a vacation, Johny averaged 50 mph traveling from Denver to Minneapolis. Returning by a different route that covered the same number of miles, he averaged 50 mph. What is the distance between the two cities if his total traveling time is 32 hours.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
On a vacation, Johny averaged 50 mph traveling from Denver to Minneapolis. Returning by a different route that covered the same number of miles, he averaged 50 mph. What is the distance between the two cities if his total traveling time is 32 hours.
:
Let d = distance between the two cities:
:
write a time equation; time = distance/speed
:
Den/Minn time + Minn/Den = 32 hrs
d/55 + d/50 = 32
:
Multiply equation by 550 to get rid of the denominators, you then have:
10d + 11d = 550(32)
21d = 17600
d = 17600/21
d = 838.1 miles
:
:
Check solution of d = 838.1
838.1/55 + 838.1/50 =
15.24 + 16.76 = 32 hrs
RELATED QUESTIONS
eric averaged 50 MPH traveling from denevr to minneapolis. Returning by a different route (answered by rothauserc,Alan3354)

John Averaged 50 MPH from city A to B returning over the same route he averaged 55 mph if (answered by ewatrrr)

Cindy averaged 60 mph on a trip to Chicago. Returning home she took a more scenice route... (answered by stanbon)

on a trip, palmer s. friedrich drove at a rate of 55 mph. he desided to return by a route (answered by edjones)

Jim left Denver on a bicycle riding at 12 mph. Four hours later Sally left by car,... (answered by josmiceli)

Sheri drove southeast from Albuquerque to Roswell and then south to Carlsbad. She... (answered by vleith,checkley77)

You are traveling to grandmother's house and get stuck in traffic so that you averaged... (answered by Alan3354)

Ms. Hill drove from here to Texas and then back on the same route. Going she averaged 70 (answered by Alan3354)

Ms. Hill drove from here to Texas and then back on the same route. Going she averaged 70 (answered by josgarithmetic)