math/algebra

posted by .

Trains A and B are traveling in the same direction on parallel tracks. Train a is traveling at 100 mph and train B is traveling 120 mph. Train a passes a station at 7:20 P.M. If train B passes the same station at 7:35 P., at what time will train B catch up to train A?

  • math/algebra -

    By 7:35, train A would have gone 15min. past the station. The distance travelled would have been 100 mph*15/60 hours = 25 miles.
    Train B catches up at the rate of 120-100 mph=20 mph. How long would it take to catch up?

  • math/algebra -

    7:35 PM - 7:20 PM = 15 min = 0.25 h,

    When train B catches up with A, their
    distance traveled will be equal. But A
    traveled that distance in 15 min(0.25h)
    less. Therefore:

    d1 = d2,
    100t = 120(t - 0.25),
    100t = 120t - 30,
    100t - 120t = -30,
    -20t = -30,
    t = 1.5 h = train A time traveled.
    (t - 0.25) = 1.5 - 0.25 = 1.25 h =
    1:15 = Time needed for B to catchup,

    B caughtup at: 7:35 PM + 1:15 = 8:50PM.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra Help PLZ

    I have tried this several different ways and I am just not satisfied with the answer I keep coming up with. Trains A and B are traveling at the same direction on parallel tracks. Train A is traveling at 100 mph and train B is traveling …
  2. algebra

    Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 100 mph and train B is traveling at 110 mph. Train A passes a station at 3:10 pm. If train B passes the same station at 3:40pm, at what …
  3. ALGEBRA-MAT117

    Trains A & B are traveling if the same direction on parallel tracks. Train A is traveling at 100 miles an hour and Train B is traveling at 110 mph . Train A passes a station at 1:15 pm If Train B passes the same station at 1:45 pm …
  4. math algebra

    Trains A and B are traveling the same direction on parallel tracks. Train A is traveling at 100 mph and train B is traveling 110 mph. Train A passes a station at 6:10 A.M. If train B passes the same station at 6:40 A.M. at what time …
  5. math

    Trains A and B are traveling in the same direction on parrallel tracks. Train A is traveling at 60 mph, and train B is traveling at 80 mph. Train A passes a station at 11:15 a.m. if train B passes the same station at 11:30 a.m. at …
  6. algebra

    Trains A and B are traveling in the same direction on parrallel tracks. Train A is traveling at 60 mph, and train B is traveling at 80 mph. Train A passes a station at 11:15 a.m. if train B passes the same station at 11:30 a.m. at …
  7. algebra

    Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 100 mph and B is traveling at 120 mph. Train A passes a station at 9:10 pm. If train B passes the same station at 9:25pm what time will train …
  8. algebra

    Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 100 mph and B is traveling at 120 mph. Train A passes a station at 9:10 pm. If train B passes the same station at 9:25pm what time will train …
  9. Algebra

    Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 mph, train B is traveling at 70 mph. Train A passes the station at 10:15pm. If train B passes the same station at 10:45pm at what time …
  10. math

    Trains A and B are traveling in the same direction on parallel tracks. Train a is traveling at 100 mph and train B is traveling 120 mph. Train a passes a station at 7:20 P.M. If train B passes the same station at 7:35 P., at what time …

More Similar Questions