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. 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? *

Posted by Surendra Gehlot 5 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Yogita Ingle 5 years, 4 months ago

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.

1Thank You

Aditri Mandal 5 years, 4 months ago

2520

1Thank You

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CBSE > Class 10 > Mathematics