Algebra I

1. A Passenger train's speed is 60mi/h and a freight train's speed is 40mi/h. The passenger train travels the same distance in 1.5 h less time than the freight train. How long does each train take to make the trip?

2. Lois rode her bike to visit a friend. She traveled at 10 mi/h. While she was there it began to rain. Her friend drove her home in a car traveling at 20 mi/h. Lois took 1.5 h longer to go to her friend's than to return home. How many hours did it take Lois to ride to her friend's house?

  1. 👍 0
  2. 👎 0
  3. 👁 387
  1. distance = rate x time
    passenger train rate = 60 mi/hr
    freight train rate = 40 mi/hr.
    distance traveled by P = 60*t
    distance traveled by F = 40*t
    time for F is 1.5 hours longer than P so
    F dist = 40(t+1.5) = P dist = 60*t
    set distance = to each other
    60*t=40(t+1.5)
    solve for t = time for passenger train.
    Then t+1.5 = tiome for freight train.

    1. 👍 1
    2. 👎 0
  2. #2 is done the same say as #1. Post your work if you get stuck.

    1. 👍 0
    2. 👎 0
  3. 2:30

    1. 👍 0
    2. 👎 0
  4. 40(t+1.5)=60x t

    2/3(t+1.5)= T

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physic

    Consider a train that rounds a curve with a radius of 570m at a speed of 160 km/h (approximately 100 mi/h)Calculate the friction force needed on a train passenger of mass 75kg if the track is not banked and the train does not

  2. physics

    A train is moving parallel to a highway with a constant speed of 16.0 m/s. A car is traveling in the same direction as the train with a speed of 36.0 m/s. The car horn sounds at a frequency of 504 Hz, and the train whistle sounds

  3. Math

    The The speed of a passenger train is 12 mph faster then the speed of a freight train. The passenger train travels 270 miles in the same time it takes the freight train to travel 210 miles. Find the speed of each train.

  4. AP Physics PLEASE HELP DUE TOMORROW

    Consider the freight train. Suppose 15 boxcars pass by in a time of 14.0 s and each has a length of 14.0 m. (a) What is the frequency at which each boxcar passes? (b) What is the speed of the train?

  1. Physics

    A train is moving past a crossing where cars are waiting for it to pass. While waiting, the driver of the lead car becomes sleepy and rests his head on the steering wheel, unintentionally activating the car's horn. A passenger in

  2. math

    on average , exante express trains are 50km/h faster than Paral passenger trains. A paral train requires 60% more time than an exante train to travel 1800 km from matsay to rawindi calculate the average speed of each train

  3. algebra

    The speed of a passenger train is 16 mph faster than the speed of a freight train. The passenger train travles 300 miles in the same time it takes the freight train to travel 220 miles. find the speed of each train

  4. physics

    2. A freight train traveling with a velocity of 18.0 m/s to the south begins braking as it approaches the train yard. The train’s acceleration while braking is -0.33m/s2. What is the train’s speed after 23 seconds?

  1. Physics

    A passenger at the rear of a train traveling at 16 m/s relative to Earth throws a baseball with a speed of 15 m/s in the direction opposite the motion of the train. What is the velocity of the baseball relative to Earth as it

  2. Physics URGENT!!!

    A commuter train passes a passenger platform at a constant speed of 31 m/s. The train horn is sounded at its characteristic frequency of 330 Hz.Assume the speed of sound is 343 m/s. (a) What is the frequency detected by a person

  3. Algebra

    Speed of passenger train is 6mph faster than the freight train. The passenger train travels 260 miles at the same time the freight train travels 230 mph. WHAT would be the speed of both the passenger and freight trains?????

  4. maths

    A freight train leaves a station traveling at 32 km/h. Two hours later, a passenger train leaves the same station traveling in the same direction at 52 km/h. How long does it takes the passenger train to catch up to the freight

You can view more similar questions or ask a new question.