Question

On a morning walk three persons step off together and Thierry steps measures 40 42 and 45 cm respectively the minimum distance each should walk so that each can cover the same distance in complete steps is

Answer 1

On a morning walk three persons step off together and Thierry steps measures 40 42 and 45 cm respectively the minimum distance each should walk so that each can cover the same distance in complete steps is

Step-by-step explanation:

We find the LCM of 40 cm, 42 cm and 45 cm in order to get the required minimum distance. We want to find the minimum distance

Therefore,

40 = 2 × 2 × 2 × 5,

42 = 2 × 3 × 7

45 = 3 × 3 × 5

∴ LCM (40, 42, 45) = 2 × 3 × 5 × 2 × 2 × 3 × 7 = 30 × 12 × 7 = 210 × 12 = 2520

The Minimum distance each person should walk 2520 cm. so that, each can cover the same distance in complete steps.

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