math

posted by .

Eric and Cindy are avid cyclists living in cities 150 miles apart. Eric begins riding toward Cindy at noon, traveling 18 mph. Cindy begins riding toward Eric at 2 pm, traveling 12 mph. At what time will they meet? How far does each travel?

  • math -

    Cindy starts at 2pm, when Eric has already been cycling for two hours.
    Distance apart at 2pm = 150-2*18
    =114 miles
    The sum of their speeds
    =18+12
    =30 mph
    They will meet when the distance divided by the total speed equals 114 miles, or
    time = 114/30 = 3.8 hours after 2 pm.

    Distance travelled by each would be time * speed of each.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    2 cyclists start at the same tiem from opposite ends of a course that is 45 miles long. One cyclist is riding at 14 mph and the second is riding at 16mph. How long after they begin will they meet?
  2. MATH

    TRAIN A, TRAVELING 70 MPH, LEAVES WESTFORD HEADING TOWARD EASTFORD 260 MILES AWAY. AT THE SAME TIME TRAIN B TRAVELING 60 MPH, LEAVES EASTFORD HEADING TOWARD WESTFORD. WHEN DO THE TWO TRAIN MEET?
  3. math

    two trains leave at the same time from stations 284 miles apart, traveling toward each other at 33mph and 38 mph respectively. how long will it take them to meet?
  4. algebra

    two trains leave at the same time from two different stations 284 miles apart, traveling toward each other at 33 mph and 38 mph respectively. how long will it take for them to meet?
  5. Algebra 2

    two people, john and mary, are 200 miles apart and leave at the same time to meet. They are driving toward each other at constant rate on the same straight road. John is traveling at 45 mph and Mary is traveling at 35 mph. When they …
  6. Simple Math Question

    two people, john and mary, are 200 miles apart and leave at the same time to meet. They are driving toward each other at constant rate on the same straight road. John is traveling at 45 mph and Mary is traveling at 35 mph. When they …
  7. Math

    Cindy is making labels for CDs. The diameter of each CD is 12 inches. In order to find the area of the label, Cindy needs to determine the radius. How can Cindy find the radius of the circle?
  8. Math

    Two towns are 420 miles apart. A car leaves the first town traveling toward the second town at 55 mph. At the same time, a second car leaves the other town and heads toward the first town at 65 mph. How long will it take for the two …
  9. Math

    Bob was riding his dune buggy. Part of the time he was riding at 10 mph and the remainder of the time at 14 mph. The total distance traveled was 68 miles and it took him 5 hours. How much time was spent traveling at 10 mph?
  10. word problem

    Ashton and molly start out 97.2 miles apart .They begin riding their bicycles toward each other with Aston riding three mph faster than Molly. If they meet in three hours, how fast was each person riding?

More Similar Questions