Question

For a morning walk, three persons steps off together. Their steps measure 80 cm, 85 cm and 90 cm respectively. What is the minimum distance each should walk to show that they can cover the distance in complete steps? Which value is preferred in this situation?

Answer 1

Solution:
Since, the three persons start walking together.
Therefore, The minimum distance covered by each of them in complete steps = LCM of the measures of their steps
= LCM (80, 85, 90)
80 = 2 x 2 x 2 x 2 x 5= 2⁴ x 5
85 = 5 x 17
90 = 2 x 3 x 3 x 5 = 2 x 3² x 5
=> LCM (80, 85, 90) = 2⁴ x 3² x 5 x 17
= 12240
=> Each person should walk a minimum distance of 12240 cm in complete steps.
Morning walk is good for healthy life.