Algebra

posted by .

You commute 56 miles one way to work. The trip to work takes 10 minutes longer than the trip home. Your average speed on the trip home is 8 miles per hour faster. What is your average speed on the trip home?

I got to this point

xy=56
(x-8)(y+10)=56

I couldn't get any further than that. I'm not sure where to go with those equations.

  • Algebra -

    Ok, then x=56/y

    (56/y -8)*(y+10/60)=56
    multiply both sides by y.
    y(56/y -8)*(y+10/60)=56y
    (56 -8y)*(y+10/60)=56y
    FOIL that, and solve the quadratic for y. ONce you get that, you can solve for x.
    Note:
    The fraction 10/60 is important..the ten was in minutes, and it has to be converted to hours, as speed was given in km/hr (remember the units given for 8).

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    You commute 56 miles one way to work. The trip to work takes 10 minutes longer than the trip home. Your average speed on the trip home is 8 miles per hour faster. What is your average speed on the trip home?
  2. Algebra

    You commute 56 miles one way to work. The trip to work takes 10 minutes longer than the trip home. Your average speed on the trip home is 8 miles per hour faster. What is your average speed on the trip home?
  3. Algebra

    You commute 56 miles one way to work. The trip to work takes 10 minutes longer than the trip home. Your average speed on the trip home is 8 miles per hour faster. What is your average speed on the trip home?
  4. math

    you commute 63 miles one way to work. the trip to work takes 20 minutes longer than the trip home. your avarage speed on the trip home is 12 mph faster. What is your average speed on the trip home?
  5. algebra

    Sheila leaves her home to go to her sister's house, which is a 24-mile drive. The trip takes 36 minutes. She returns home taking the same route at a speed that is 5 miles per hour faster. How many minutes did the trip home take?
  6. College Algebra

    A family drove 1080 miles to their vacation lodge. Because of increased traffic density, their average speed on the return trip was decreased by 6 miles per hour and the trip took 2.5 hours longer. Determine their average speed on …
  7. math

    Over the river and through the woods to grandpa's house the smith grandchildren go. They drive 120miles to reach grandpa's house and the same distance back home. 1) It took 1.2hours to get halfway there. What is their average speed, …
  8. College Algebra

    A truck driver traveled at an average speed of 55 miles per hour on a 200-mile trip pick up a load of freight. On the return trip (with the truck fully loaded), the average speed was 40 miles per hour. What was the average speed for …
  9. college Algebra

    James drove the 24 miles to two and back in hour. On the return trip, he was able to average 20 miles per hour faster than he averaged on the trip to town. what was his average speed on the trip to town?
  10. Math

    On a trip of d miles to another city, a truck driver's average speed was x miles per hour. On the return trip the average speed was y miles per hour. The average speed for the round trip was 50 miles per hour. Show that y=25x/(x-25) …

More Similar Questions