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?

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` 
Ella
90 seconds
Respond to this Question
Similar Questions

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? 
Algebra Grade 7
A cat likes to play on stairs. Starting at the bottom landing, the cat jumped up 4 steps, then down 2 steps. Then the cat jumped up 5 steps and fell down 3. In two more jumps of 4 steps and then 2 steps, the cat reached the top of … 
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 … 
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? 
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? 
Math
Randi takes the stairs at work whenever possible instead of the elevator. She must climb up 51 steps from her office to get to the accounting department. The human resources department is 24 steps below her office. How many steps are … 
PhyiscsEnergy 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: … 
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: … 
physics
calculate the number of kilocalories needed to climb 232 stair steps (116 steps per minute for 2 min.) climbing stairs (116/min.) = energy consumption rate is 9.8 (kcal/min) 
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 …