Question

8. In a morning walk there boys step off together. Their steps measure 80 cm, 85 cm and 90 cm
respectively. What minimum distance should each walk so that all can cover the distance in
complete steps?​

Answer 1

Answer:

GIVEN: Their steps measure 80 cm, 85 cm, and 90 cm.

We have to find the L.C.M of the measures of their steps to calculate the required distance each should walk.

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

80=2

4

×5

85=17×5

90=2×3

2

×5

L.C.M(80,85,90)=2

4

×3

2

×5×17

=12240cm

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