You Walk Upwards On An Escalator, With A Speed Of 1 Step Per Second.

1.	You Walk Upwards On An Escalator, With A Speed Of 1 Step Per Second. After 50 Steps You Are At The End. You Turn Around And Run Downwards With A Speed Of 5 Steps Per Second. After 125 Steps You Are Back At The Beginning Of The Escalator. How Many Steps Do You Need If The Escalator Stands Still?
Answer» Let v be the speed of the escalator, in steps per SECOND. Let L be the number of steps that you need to TAKE when the escalator stands still. UPWARDS (along with the escalator), you WALK 1 step per second. You need 50 steps, so that takes 50 SECONDS. This gives: L - 50 × v = 50. Downwards (against the direction of the escalator), you walk 5 steps per second. You need 125 steps, so that takes 25 seconds. This gives: L + 25 × v = 125. From the two equations follows: L = 100, v = 1. When the escalator stands still, you need 100 steps. Let v be the speed of the escalator, in steps per second. Let L be the number of steps that you need to take when the escalator stands still. Upwards (along with the escalator), you walk 1 step per second. You need 50 steps, so that takes 50 seconds. This gives: L - 50 × v = 50. Downwards (against the direction of the escalator), you walk 5 steps per second. You need 125 steps, so that takes 25 seconds. This gives: L + 25 × v = 125. From the two equations follows: L = 100, v = 1. When the escalator stands still, you need 100 steps.

You Walk Upwards On An Escalator, With A Speed Of 1 Step Per Second. After 50 Steps You Are At The End. You Turn Around And Run Downwards With A Speed Of 5 Steps Per Second. After 125 Steps You Are Back At The Beginning Of The Escalator. How Many Steps Do You Need If The Escalator Stands Still?

Answer»

Let v be the speed of the escalator, in steps per SECOND. Let L be the number of steps that you need to TAKE when the escalator stands still. UPWARDS (along with the escalator), you WALK 1 step per second. You need 50 steps, so that takes 50 SECONDS. This gives: L - 50 × v = 50. Downwards (against the direction of the escalator), you walk 5 steps per second. You need 125 steps, so that takes 25 seconds. This gives: L + 25 × v = 125. From the two equations follows: L = 100, v = 1. When the escalator stands still, you need 100 steps.

Let v be the speed of the escalator, in steps per second. Let L be the number of steps that you need to take when the escalator stands still. Upwards (along with the escalator), you walk 1 step per second. You need 50 steps, so that takes 50 seconds. This gives: L - 50 × v = 50. Downwards (against the direction of the escalator), you walk 5 steps per second. You need 125 steps, so that takes 25 seconds. This gives: L + 25 × v = 125. From the two equations follows: L = 100, v = 1. When the escalator stands still, you need 100 steps.

You Walk Upwards On An Escalator, With A Speed Of 1 Step Per Second. After 50 Steps You Are At The End. You Turn Around And Run Downwards With A Speed Of 5 Steps Per Second. After 125 Steps You Are Back At The Beginning Of The Escalator. How Many Steps Do You Need If The Escalator Stands Still?

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