math

posted by .

working together 2 people can mow a large lawn in 4 hours. One person can do the job alone one hour faster than the other person. How long does it take each person working alone to mow the lawn?

  • math -

    rate of faster person = 1/x
    rate of slower person = 1/(x+1)

    combined rate = 1/x + 1/(x+1) = (2x+1)/(x(x+1))

    so time with combined rate = 1/[(2x+1)/(x(x+1))
    = x(x+1)/(2x+1)

    so x(x+1)/(2x+1) = 4
    x^2 + x = 8x + 4
    x^2 - 7x -4 = 0
    x = (7 ± √ 65)/2
    = 7.53 or a negatiave

    So one takes 7.53 hours, the other 8.53 hours

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math Problem Solving

    Jay and Mark run a lawn mowing service. Mark's mower is twice as big as Jay's, so whenever they both mow, Mark mows twice as much as Jay in a given time period. When Jay and Mark are working together, it takes them 4 hours to cut the …
  2. algebra

    Kim can mow the greens at golf course twice as fast as I can. Working together, we can mow them in four hours. How long will it take me to mow the greans alone?
  3. algebra

    Kim can mow the greens at golf course twice as fast as I can. Working together, we can mow them in four hours. How long will it take me to mow the greans alone?
  4. Math

    Mike can mow a lawn in 3 hours. Paul can mow the same lawn in 2 hours. How long would it take both of them working together to mow the lawn?
  5. college intermediate algebra

    Working together, two people can mow the lawn in 24 minutes. Working alone, one person takes 20 minutes longer than the other. How many minutes would it take each person to mow the lawn alone?
  6. math

    Nala and her cousin agreed that they would each mow one-half of the lawn. The lawn is a 25' by 45' rectangle. The lawn mower cuts a path two feet wide. Nala starts at one corner and mows a path completely around the outside, and then …
  7. Algebra

    Using two lawnmowers and working together Tom and Anne can mow the lawn in 36 minutes. It takes Anne 90 minutes if she mows the lawn herself. How long would it take Tom to do the job working alone?
  8. Math

    Working together two people can cut a lawn of grass in 5 hours. One person can do the job alone in 1 hour less than the other. How long would it take the faster person to do the job?
  9. Algebra

    Betty can mow a lawn in 90 minutes. Melissa can mow the same lawn in 60 minutes. How long does it take for both Betty and Melissa to mow the lawn if they are working together?
  10. Algebra

    Working together, two people can cut out a large lawn in 2 hr. One person can do the job alone in 1 hr less than the other?

More Similar Questions