# math

posted by maos

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?

1. Jai

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`

2. Ella

90 seconds

## Similar Questions

1. ### math

Abby takes 6 steps forward, them 2 steps back. If she repeats this pattern, how many steps will she be from where she started after 4 moves?
2. ### Math

Abby takes 6 steps forward, then 2 steps back. If she repeats this pattern, how many steps will she be from where she started after 4 moves?
3. ### math

Abby takes 6 steps forward, then 2 steps back. If she repeats this pattern, how many steps will she be from where she started after 4 moves?
4. ### math

Abby takes 6 steps forward, then 2 steps back. If she repeats this pattern,how many steps will she be from where she startedafter 4 moves?
5. ### 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. How …
6. ### Math

Annie likes to walk 2 steps, jump 2 steps and then skip 2 steps. If she does this pattern over and over again for a total of 52 steps, how many jumping steps will she make?
7. ### math

Annie likes to walk 2 steps, jump 2 steps and then skip 2 steps. If she does this pattern over and over again for a total of 52 steps, how many jumping steps will she make?
8. ### 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. Determine: …
9. ### 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. Determine: …
10. ### algebra

Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per minute. Malory leaves her house at 12:20 p.m. and walks at 90 steps per minute. At what time will Malory's …

More Similar Questions