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In a morning walk there persons …

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In a morning walk there persons stop of together. Their steps their steps measure 80cm 85 cm and go cm respectively what is the minimum distance each should walk so that all can cover the same distance in complete steps?
  • 1 answers

Sia ? 6 years, 2 months ago

Since, the three persons start walking together.
∴ The minimum distance each should walk so that all can cover the same distance in complete steps will be equal to LCM of 80,85 and 90.

Prime factors of 80,85 and are as following

{tex}80=16×5=2^4×5{/tex}

{tex}85=5×17{/tex}

{tex}90=2×9×5=2×3^2×5{/tex}

{tex}\text{So LCM of 80,85 and 90 }=2^4×3^2×5×17{/tex}

=16×9×5×17=12240
∴ Each person should walk the minimum distance

=12240 cm =122 meter 40 cm
Value of morning walk :

  “An early morning walk is a blessing for the whole day.”

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