Question

hi

Three person start walking together and their step measures 80cm, 84cm, and 45 cm respectively. What is the minimum distance each should walk so that each can cover same distance in complete steps?​

Answer 1

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.

$80 = {2}^{4} \times 5$

$85 = 17 \times 5$

$90 = 2 \times {3}^{2} \times 5$

$L.C.M(80,85,90)= {2}^{4} \times {3}^{2} \times 5 \times 17$

$=12240cm$

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

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Answer 2

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