math

An escalator in a department store moves down at the rate of 64 steps per minute. Julie can walk fast up ordinary steps at the rate of 96 steps per minute. In the store, there are 48 steps from one level to another. Julie decides to walk fast up the down escalator. How long in seconds will it take her to go up one level?

asked by maos
  1. Let t be the time.

    Since Julie's and the escalator's rates are on opposite directions, we can represent it as one of them (+) and the other (-).

    Rate is distance traveled over time, or
    r = d/t
    or solving for d,
    d = r*t

    Then we write the equation:
    (Julie's distance) - (Escalator distance) = (Distance of one level)
    96*t - 64*t = 48
    32t = 48
    t = 1.5 minutes

    Hope this helps~ `u`

    posted by Jai
  2. 90 seconds

    posted by Ella

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    An escalator moves down at the rate of 60 steps per minute. Alan can walk fast up ordinary steps at the rate of 80 steps per minute. There are 50 steps from one level to another. Alan decides to walk fast up the down escalator.
  2. Physics

    An escalator in a department store is driven by a large electric motor whose power consumption changes with the load to keep the escalator moving at a constance velocity, up to a certain maximum power capacity. An escalator
  3. Ap Physics

    An escalator in a shopping centre carries people up through a height h at a vertical speed of v, but you’re in a hurry when you step onto it, so you climb the moving steps (each with a height of hs) at a rate of n steps/s.
  4. Phyiscs-Energy conservation

    An escalator in a shopping centre carries people up through a height h at a vertical speed of v, but you’re in a hurry when you step onto it, so you climb the moving steps (each with a height of h ) at a rate of n steps/s.
  5. Physics 12

    Help will be appreciated. In a large department store, a shopper is standing on the "up" escalator, which is travelling at an angle of 40 degree above the horizontal and at a speed of 0.75 m/s. He passes his daughter, who is
  6. Physics

    A large store escalator that is designed to transfer customers to one floor to another, a vertical distance of 8.0m. It takes each person 20 seconds to ride from bottom to top of the escalator. Explain how you would determine the
  7. physics

    In a mall, a shopper rides up an escalator between floors. at the top of the escalator, the shopper turns right and walks 9.00m to store. the magnitude of the shopper's displacement from the bottom of the escalator is 16.0m. the
  8. physics

    A 58.0-kg man is riding an escalator in a shopping mall. The escalator moves the man at a constant velocity from ground level to the floor above, a vertical height of 3.70 m. What is the work done on the man by (a) the
  9. Physics

    A 58.0-kg man is riding an escalator in a shopping mall. The escalator moves the man at a constant velocity from ground level to the floor above, a vertical height of 3.70 m. What is the work done on the man by (a) the
  10. physics

    A 75.0-kg man is riding an escalator in a shopping mall. The escalator moves the man at a constant velocity from ground level to the floor above, a vertical height of 4.30 m. What is the work done on the man by (a) the

More Similar Questions