Question

On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm, respectively.
What is the minimum distance each should walk so that each can cover the same distance in complete steps?
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Answer 1

Answer:

25 m 20 cm

Step-by-step explanation:

the minimum distance so that each can cover the same distance in complete steps will be LCM of 40 cm, 42 cm, and 45 cm because the LCM is the least number which is divisible by the given numbers and in order to cover the distance in complete steps, the number should be divisible by the given numbers.

LCM of 40, 42 and 45 is

40 = 2x2x2x5

42= 2x3x7

45 = 3x3x5

LCM = 2*2*2*3*3*5*7

= 2520 cm

= 25m20cm