Question

Q10.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

We have to find the LCM of 40 cm, 42 cm and 45 cm to get the required minimum distance. Because we are asked the minimum distance

 Now,

 40 = 2 × 2 × 2 × 5,

 42 = 2 × 3 × 7

45 = 3 × 3 × 5

∴ LCM (40, 42, 45) = 2 × 3 × 5 × 2 × 2 × 3 × 7 = 30 × 12 × 7 = 210 × 12 = 2520

Minimum distance each should walk 2520 cm. so that, each can cover the same distance in complete steps.

Answer 2

Answer:

Each should cover 2520 cm or 25.2 m so that each of them can cover the same distance.

Step-by-step explanation:

Minimum distance to be covered= LCM of 40, 42, 45

                                                       = 2520

Therefore each person should cover 2520 cm or 25.2 m