Question

10. On a morning walk, 3 persons step off together and their steps measure 40cm, 42cm and 46cm respectively.b.) What is the maximum distance each should walk so that each can cover the same distancea.) What is the minimum distance each should walk so that each can cover the same distance ?in complete steps?​

Answer 1

Answer:

Since the three persons start walking together.

∴, The minimum distance covered by each of them in complete steps = LCM of the measures of their steps

=LCM(40,42,45)

40=2×2×2×5=2

3

×5

42=2×3×7

45=3×3×5=3

2

×5

⇒LCM(40,42,45)=2

3

×3

2

×5×7=2520

⇒ Each person should walk a minimum distance of 2520 cm in complete steps.

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