math

posted by .

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 the way to the lodge.


Can someone help define a variable and write an equation?

  • math -

    Sure, we can help with that.
    Let V be the average speed GOING to the ladge, a distnce d = 1080 miles away.
    V * T = 1080
    (V-6)*(T+2.5) = 1080
    Substitute 1080/V for T in the second equation and solve for V.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    andys average driving speed for a 4-hour trip was 45 miles per hour. during the first 3 hours he drove 40 miles per hour. what was his average speed for the last hour of his trip?
  2. math

    Hannah took a trip yo visit her cousin. She drove 120 miles to reach her cousin's house and the same distance back home. a) It took her 1.2 hours to get halfway to her cousin's house. What was her average speed, in miles per hour, …
  3. math

    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 …
  4. math word problem

    Here's the latest from the UMW math department: Andy drove from Richmond to Boston at an average speed of 50 miles per hour. If it took 5 hours to drive from Richmond to Philadelphia at an average speed of 70 miles per hour and if …
  5. MATh

    Kesha dove from Buffalo to Syracuse at an average rate of 48miles per hour. On the return trip along the same road she was able to travel at an average rate of 60 miles per hour.The trip from Buffalo to Syracuse took one- half hour …
  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

    Bob drove to the store( a distance fo 10.5) miles at ana average speed of 35 mile per hours. On the way home, he got stuck in traffic, and he only averaged 15 miles per hour along the same route. What was his average speed for the …
  8. algebra

    diana drove 320 miles, then increased her speed by 10 miles per hour for 500 miles. if the second part of the trip took 2 hours longer than the first, find her average speed.
  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