Question

Two persons are climbing up on two moving escalators which have 120 steps. The ratio of 1st person’s speed to that of1st escalator is 2 : 3 (steps). The ratio of 2nd person’s speed to that of 2nd escalator is 3 : 5 (steps). The total number of steps taken by both the persons are ?

Answer 1

120 steps on the escalators
x(person 1) = 1.50 steps so for each step that x takes he moves 1.50 steps
y(person 2) = 1.67 steps so for each step that y takes he moves 1.67 steps

so then the number of steps taken by x = (120/1.50) so 80 steps
so then the number of steps taken by y = (120/1.67) so 72 steps