posted by .

Jill and Matt run on a 400-meter-long oval track. They each run 10 laps daily and both run in the same lane. One day, they begin at the same point, but ran in opposite directions. Jill ran at a constant speed that was 2 meters per second faster than Matt's constant speed. Jill passed Matt for the first time in 40 seconds. Jill ran at a constant rate of how many meters per second?

Thanks in advance.

  • Math -

    Jill distance = x
    Matt distance = (400-x)
    Jill speed = j
    Matt speed = (j-2)

    distance = rate * time
    x = j (40)
    (400-x) = (j-2)(40)
    (400 -40 j) = 40 j - 80
    I guess you can do it from there.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. trig.

    Jack and Jill ran a 400 meter race. Jill ran therace in 50 second and won by 5 meters; that is Jack had run only 295 meter when Jill crossed the finish line. They decide to race again,but this time Jill starts 5 meters behind the starting …
  2. math

    Jack and Jill run 10 kilometers. They start at the same point, run 5 kilometers up a hill, and return to the starting point by the same route. Jack has a 10-minute head start and runs at a rate of 15 km/hr uphill and 20 km/hr downhill. …
  3. math

    Maria ran 4 laps of the track at the same pace. If it took 4 1/2 minutes to run the first 3 laps how long did it take her to run all 4 laps
  4. Math

    Javia ran 8 laps around a track to run a total of 1 mile on Monday. How many laps will she need to run on Tuesday to run 3/8 of a mile?
  5. math

    how can i make a model to solve this problem?
  6. Math

    javia ran 8 laps around a track to run a total of 1 mile on monday. How many laps will she need to run on tuesday to run 3/8 of a mike?
  7. math

    Javia ran 8 laps to run a total of amile on monday how many laps will she need to run Tuesday to run 3/8 of a mile
  8. math

    Todd run 8 laps around a 400-meter track on Monday, 4 laps on Tuesday, 8 laps on Wednesday, 4 laps on Thursday, and 8 laps on Friday. How many kilometers did he run?
  9. math

    Ben, Ray, and Lee ran laps around the school track. Ben ran 2 times as many laps as Ray. Lee ran 3 laps, which is one-half of the number of laps that Ray ran. How many laps did Ben run?
  10. Math

    Lani, Sue, and Jill begin jogging around a quarter-mile track at the same time. Lani takes 2 minutes to complete each lap, Sue takes 3 minutes and Jill takes 4 minutes. How long will they have been jogging when they first meet up again …

More Similar Questions