Math

posted by .

Steve mcspoke left home on his bike traveling at 18km/hr. Steve's brother set out 2 hours later , following the same route, TRAVELING 54 per hour. How long did brother have to travel to catch up with Steve?

  • Math -

    Represent the unknown with variable.
    Let x = time that Steve's brother travelled
    Recall that distance is equal to speed multiplied by time. We get their distances travelled and equate them (since it's said that they followed the same route and they'll overtake at some time):
    18(x + 2) = 54x
    Note the Steve left two hours before his brother, thus there's +2 on his time. Solving for x,
    18x + 36 = 54x
    18x - 54x = -36
    -36x = -36
    x = 1 hour

    Hope this helps~ :3

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    Steve is making crafts to sell at a benefit. It takes him 3/4 of an hour to make a trivet and 1/2 hour to make a wooden spoon, He has 3 hours to work. Write an equation to show the relationship between how many trivets and how many …
  2. math

    Train leaves a stationa traveling at 60 miles per hour. Eight hours later train B leaves the same station traveling in the same direction at 80 miles per hour. How long does it atke for train B to catch up to train A.?
  3. math

    My brother and I walk the same route to school every day. My brother takes 40 minutes to get to school and I take 30 minutes. Today, my brother left 8 minutes before I did. How long will it take me to catch up with him?
  4. math

    Steve McSpoke left home on his bicycle at 8am, traveling at 18km/h. At 10am, Steve's brother set out after him on a motorcycle, following the same route. The motorcycle traveled at 54km/h. How long had steve traveled when his brother …
  5. Math

    A truck traveling at an average rate of 45 miles per hour leaves a rest stop. Fifteen minutes later a car traveling at an average rate of 60 miles per hour leaves the same rest stop traveling the same route. How long will it take for …
  6. Math

    Steve can run 3.5 miles in 30 minutes. If Steve increases his rate by 1/2 mile per hour, how far will he run in 2 hours?
  7. math

    Sue left her home at 6 A.M. driving her car at the rate of 50 miles per hour. At 8 A.M. her brother Kevin drove after her along the same highway, traveling at the rate of 60 miles per hour, in how many hours did Kevin pass Sue.
  8. Algebra

    A stagecoach left Drygulch traveling east at 3 km per hour. Two hours later, another stagecoach left Drygulch traveling in the same direction at 40km per hour, How many hours had the first one been traveling when the second one caught …
  9. math

    Stacy and Steve each have brownies of equal size,as shown. Stacy cuts her brownie into halves.Steve cuts his brownie into eighths. Which statement is true?
  10. Physical science check my answers

    5. Steve's older brother got this cool new car. He said it can go from a stopped position to 80 miles per hour in ten seconds. His brother is describing the car's A. acceleration. *** B. average velocity. C. instantaneous speed. D. …

More Similar Questions