On a morning walk, three persons step out together and thelir steps measure 30 cm, 36 cm and 40 cm respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?
Answers
Answer:
Is it possible everyone take different step I don't think is it possible to cover same distance
but we can also do this they can covered same distance but they take different time
Answer:
The minimum equal distance they cover is 360 cm.
Step-by-step explanation:
Given: Length of steps of 3 persons are 30 cm, 36 cm, and 40 cm
To find: Minimum equal Distance they cover in complete steps.
The common Minimum value of numbers is The LCM (lowest common multiple) of those no.
So, To find the minimum equal distance that they cover we find the LCM of 30, 36, 40.
We use the factorization method to find LCM,
30 = 2 × 3 × 5
36 = 2 × 2 × 3 × 3
40 = 2 × 2 × 2 × 5
⇒ LCM = 2 × 3 × 5 × 2 × 2 × 3
= 360
Therefore, The minimum Equal Distance they cover is 360 cm.
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