Q. 414.8( 5 Votes )

In a morning walk a man, a woman and a child step off together. Their steps measure 90 cm, 80 cm and 60 cm. What is the minimum distance each should walk to cover the distance in complete steps?

Answer :

Steps of the man measure = 90 cm

Steps of the woman measures = 80 cm


Steps of the child measures = 60 cm


To find the minimum distance each man, woman and child should walk we have to find the l.c.m. of their steps.


90 = 2 × 5 × 3 × 3


80 = 2 × 2 × 2 × 2 × 5


60 = 2 × 5 × 2 × 3


Therefore, l.c.m.(90, 80, 60) = 2 × 2 × 2 × 2 × 3 × 3 × 5 = 720


So, the minimum distance each should walk to cover the distance in complete steps is 720 cm.


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