Question

In a morning walk three people step off together.Their steps measure 80cm,85cmand90cm respectively.What is the minimum distance each should walk so that all can cover the same distance in complete steps?​

Answer 1

Answer:

12240 cm

Step-by-step explanation:

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.

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