In a morning walk a man, a woman and a child step off together. Their steps measure 90 cm, 80 cm and 60 cm. What is the minimum distance each should walk to cover the distance in complete steps?
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Answered by
8
in a morning walk a man ,a woman and a child setp off together.
length of men's step = 90cm
length of woman's step = 80cm
length of child's step = 60 cm
minimum distance each should walk to cover the distance in complete steps = LCM of {90, 80, 60}
= 720 cm
hence, minimum distance = 7.2 m
length of men's step = 90cm
length of woman's step = 80cm
length of child's step = 60 cm
minimum distance each should walk to cover the distance in complete steps = LCM of {90, 80, 60}
= 720 cm
hence, minimum distance = 7.2 m
Answered by
7
Given Man's measure = 90 cm.
Given women's measure = 80 cm.
Given Child's measure = 60 cm.
Therefore,
The minimum distance each should walk is the LCM of 90,80,60.
= > Prime factorization of 90 = 2 * 3 * 3 * 5
= > Prime factorization of 80 = 2 * 2 * 2 * 2 * 5
= > Prime factorization of 60 = 2 * 2 * 3 * 5
LCM(90,80,60) = 2 * 2 * 2 * 2 * 3 * 3 * 5
= > 720.
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Therefore,
Minimum distance = 720 cm
= > 0.0072km.
Hope this helps!
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