SOLUTION: An escalator is moving downward from 2nd floor to the 1st floor. Emily walks down from the 2nd floor to the first floor, and she walks 40 steps. Albert walks up from the first floo

Question 1163496: An escalator is moving downward from 2nd floor to the 1st floor. Emily walks down from the 2nd floor to the first floor, and she walks 40 steps. Albert walks up from the first floor to the second floor, and he walks 80 steps. If Albert walks twice as fast as Emily, find the number of steps of the escalator when it is stationary.

Answer by ikleyn(52775) (Show Source): You can put this solution on YOUR website!
.
An escalator is moving downward from 2nd floor to the 1st floor. Emily walks down from the 2nd floor to the first floor,
and she walks 40 steps. Albert walks up from the first floor to the second floor, and he walks 80 steps.
If Albert walks twice as fast as Emily, find the number of steps of the escalator when it is stationary.
~~~~~~~~~~~~~

Let x be the number of steps of the escalator when it is stationary (the number under the problem's question).


During the time Emily makes her walk down, the escalaror moves (x-40) steps.


During the time Albert makes his walk up, escalaror moves (x-80) steps.


Albert moves twice as fast as Emily, which means that Emily's time is twice the Albert's time.


But the escalator speed is a constant, so


    x - 40 = 2*(x-80).


It is your basic equation from the condition to find x.


From the equation

    x - 40   = 2x - 160

    160 - 40 = 2x - x

     x       = 120.


ANSWER.  The number of steps of the escalator when it is stationary is 120 (in one direction).

Solved.

RELATED QUESTIONS
An escalator is moving up from first floor to the 2nd floor. If Marty stands on it, it... (answered by ikleyn)

Howard and Bobby walk up on an escalator which is moving down from the 2nd floor to the... (answered by Edwin McCravy)

Bob steps onto an escalator which is moving up to the 2nd floor. If he walks one step per (answered by ikleyn)

It takes an escalator 20 seconds to move a person from the first floor to the second.If... (answered by edjones)

A 40-foot-long escalator rises from the first floor to the second floor. The escalator... (answered by Gersid)

an escalator lifts people to the secomd floor, 25ft above the first floor. the escalator... (answered by stanbon)

1). there are 3 up escalators and one elrvator to take shoppers from first to second... (answered by sudhanshu_kmr)

An escalator lifts people to the second floor of a building, 25 feet above the first... (answered by Alan3354)

An apartment building has the following apartments: 1... (answered by solver91311)