III. In a walk three girls step off together their steps measure 70cm,
75cm and 80 cm respectively. What is the minimum distance each
should walk so that all can cover the same distance in complete
steps?
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Their steps measure 70 cm, 75 cm and 80 cm. es of their steps to calculate the required distance each should walk. L.C.M of 70 cm, 75 cm, and 80 cm. Hence, the minimum distance each should walk so that all can cover the same distance in complete steps is 8400 cm.
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Their steps measure 70 cm, 75 cm and 80 cm.
We have to find the L.C.M of the measure of their steps to calculate the required distance each should walk.
L.C.M of 70 cm, 75 cm, and 80 cm.
70 = 2 x 5 X 7
75 = 3 x 5^2
80 = 2 x 4 x 5
L.C.M of 70, 75 and 80 = 2⁴ x 3 x 5^2 x 7 = 8400 cm
Hence, the minimum distance each should walk so that all can cover the same distance in complete steps is 8400 cm.
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