Question

Three boys steps off together from the same spot.
Their steps measures 65 cm, 70 cm and 75 cm
respectively. What is the minimum distance each
should cover so that all can cover the distance in
complete steps ?
ans​

Answer 1

Answer:

Step-by-step explanation:

The length of their steps were 65 cm, 70 cm and 75 cm respectively.

65=5*13

70=2*5*7

75=3*5²

From the question, it is clear that the minimum distance they will need to travel will be the LCM of the lengths of their steps.

To find the LCM, we must find the product of the highest powers of each of their prime factors.

So, LCM of 65, 70 and 75= 2*3*5²*7*13=13650 cm = 136.5 m

So, the minimum distance the boys will have to walk to cover in complete steps is 136.5 m.

Hope it helps!

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