In a morning walk three persons step off together

Asked by admin @ 13/08/2021 in Math viewed by 299 People

In a morning walk three persons step off together, their steps measure 80cm, 85 cm and 90 cm respectively. What is the minimum distance each should walk so that he can cover the distance in complete steps?

Answered by admin @ 13/08/2021

SOLUTION :

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 i.e. 80 cm, 85 cm, and 90 cm, to calculate the required distance each should walk.

L.C.M of 80 cm, 85 cm, and 90 cm.

80 = 2⁴ x 5

85 = 17 x 5

90 = 2 x 3 x 3 x 5

L.C.M of 80, 85 and 90 = 2⁴ x 3 x 3 x 5 x 17

L.C.M of 80, 85 and 90 = 12240 cm

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

HOPE THIS ANSWER WILL HELP YOU. .

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