How JustAnswer Works:
  • Ask an Expert
    Experts are full of valuable knowledge and are ready to help with any question. Credentials confirmed by a Fortune 500 verification firm.
  • Get a Professional Answer
    Via email, text message, or notification as you wait on our site.
    Ask follow up questions if you need to.
  • 100% Satisfaction Guarantee
    Rate the answer you receive.
Ask Ray Atkinson Your Own Question
Ray Atkinson
Ray Atkinson, Graduate Student
Category: Homework
Satisfied Customers: 1890
Experience:  Inner-city high school substitute teacher. Degrees in mathemetics, accounting, and education. Years and years of tutoring.
Type Your Homework Question Here...
Ray Atkinson is online now
A new question is answered every 9 seconds

a man averaged 50mph traveling from Denver to Minneapolis.

This answer was rated:

a man averaged 50mph traveling from Denver to Minneapolis. returning by a different route that covered the same amount of miles, he averaged 55mph. what is the distance between the two cities if his total time was 32hrs? i have no idea how to set up the equation to solve this problem. it is driving me crazy and is due Friday Apr19th. someone with math expertise please help!

Ray Atkinson :

This is the same D=RT formula. miles = (miles/hour) * hours
Trip one is D miles = 50 miles/hour * x hours
Trip two is D miles = 55 miles/hour * y hours
The miles are the same, and the total x+y=32, or y=32-x
50x = 55(32-x)
50x = 1760-55x
105x = 1760
x = 16.762 hours
y = 15.238 hours
x = 50*16.762 = 838.1 miles
y = 55*15.238 = 838.1 miles, so it checks both ways.

Ray Atkinson and 2 other Homework Specialists are ready to help you

Related Homework Questions