Question

1) In a morning walk, three persons step off together. Their steps measure 80 cm, 85
cm and 90 cm respectively. What is the minimum distance each should walk so that all
can cover the same distance in complete steps?

Answer 1

We have to find the L.C.M of the measures of their steps ,

L.C.M of 80 cm, 85 cm, and 90 cm.

80 = 2⁴×5

85 = 17 × 5

90 = 2 × 3 × 3 × 5

L.C.M = 2⁴ × 3 × 3 × 5 × 17

L.C.M = 12240 cm

Hence, the minimum distance each should walk so that all can cover the same distance in complete steps is 12240 cm. = 122m.40cm