Let

*s* = number of steps in the escalator

*v* = velocity of the escalator in steps/second

The first day, the businessman made 20 steps. To bring him to the top, the escalator will do (*s* - 20) steps for him. It all happened in 20 seconds

$s - 20 = 20v$

$s - 20v = 20$ ← Equation (1)

The next day, the businessman made 32 steps, the escalator did (*s* - 32) steps for him bringing him to the top. 32 steps at 2 steps/second, it all happened in 16 seconds.

$s - 32 = 16v$

$s - 16v = 32$ ← Equation (2)

From Equations (1) and (2)

*s* = 80 and *v* = 3 ← Answer: [ A ]