Question

Three persons start walking together and their steps measure 40 cm, 42 cm and 45 cm respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps ? 

(a) 25 m 20 cm (b) 50 m 40 cm (c) 75 m 60 cm (d) 100 m 80 cm

Answer 1

(a) Required minimum distance = L.C.M of 40,42 and 45.

L.C.M = 2 x 2 x 2 x 5 x 3 x 3 x 7 = 2520

Required distance = 2520 ÷ 100

= 25 m 20 cm