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On a morning walk, three persons step out together and their steps measure 30 cm, 36 cm, and 40 cm respectively. What is the minimum distance each should walk so that each can cover the same distance - Mathematics

Sum

On a morning walk, three persons step out together and their steps measure 30 cm, 36 cm, and 40 cm respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?

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Solution

GIVEN:

In a morning walk, three persons step off together. Their steps measure 30 cm, 36 cm, and 40 cm.

The distance covered by each of them is required to be the same as well as a minimum. The required distance each should walk would be the L.C.M of the measures of their steps i.e. 30 cm, 36 cm, and 40 cm,

So, we have to find the L.C.M of 30 cm, 36 cm, and 40 cm.

30 = 3 × 5 × 2

36 = 3 × 2 × 3 × 2

40 = 2 × 2 × 5 × 2

LCM of 30, 36 and 40 will be 360.
Hence the minimum 360 cm distance each should walk so that all can cover the same distance in complete steps.

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