Question

A man who is going down via an escalator takes 50 steps in order to reach down and 250 to reach up (escalator is moving down). If his speed is 5 times faster upwards then downwards then how many steps would he need to take on a still escalator

Answer 1

The total number of steps in that escalator is 150.

Explanation:

While going down he takes 50 steps and let's suppose escalator moves x  steps down

50+x ....(1)

2.5 times faster while going up, 50 x 5=250 and still the  escalator moves x steps down.

Therefore 250-x (2)

• Equating both the equations:

50+x = 250-x

x=100

Now put the value of x in equation (1).

50 + 100 = 150 steps

When the person goes down 50 steps, escalator goes 100 steps  down.

So total number of steps in that escalator is 150.

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A man of mass 60 kg stands in a moving lift. What is the apparent weight when the lift moves (i)up with an acceleration of 4 m/s²? (ii) down with an acceleration of 4 m/s²? (iii) up with an uniform velocity of 4 m/s?

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