Question

Reena, Meena and Sheena decided to go for a morning walk Daily and decided to step together from the starting point. Their steps measure 85cm, 50cm and 75cm respectively. What is the minimum distance each would walk so that all can cover the same distance in complete number of steps ?
Please answer , it's urgent :)
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Answer 1

In the above Question , the following information is given -

Reena, Meena and Sheena decided to go for a morning walk Daily and decided to step together from the starting point.

Their steps measure 85cm, 50cm and 75cm respectively .

To find -

What is the minimum distance each would walk so that all can cover the same distance in complete number of steps ?

Solution -

Here ,

Reena, Meena and Sheena decided to go for a morning walk Daily and decided to step together from the starting point.

Their steps measure 85cm, 50cm and 75cm respectively .

Reena - 85 Cm

Meena - 50 cm

Sheena - 75 cm .

Now ,

The minimum distance each would walk so that all can cover the same distance in complete number of steps refers to the LCM of their step size.

=> LCM of 85 , 50 , 75

=>

5 |__85___50__75_

5 |__17____10__15_

|__17.____2. ___3

Required LCM -

=> 5 × 5 × 17 × 2 × 3

=> 2550 cm .

So ,

The minimum distance each would walk so that all can cover the same distance in complete number of steps is 2550 cm .

This is the required answer ..

_______________

Answer 2

Answer:

⠀⠀✩ Reena = 85 cm

⠀⠀✩ Meena = 50 cm

⠀⠀✩ Sheena = 75 cm

⠀

We have to find the Minimum Distance each would walk so that all cover the Same Distance.

⠀⠀Hence, we will find LCM (Least Common Multiple) of All Steps Measure.

$\rule{180}{2}$

⠀⠀Least Common Multiple

⠀⠀⠀$\begin{array}{c|ccc}\sf5&\sf85 \qquad50 \qquad75 \\ &\dfrac{\qquad \qquad \qquad \qquad \quad}{} \\\sf5&\sf17 \qquad10 \qquad15\\ &\dfrac{\qquad \qquad \qquad \qquad \quad}{} \\&\sf17 \qquad2 \qquad3\end{array}$

⠀

$:\implies\sf LCM=5 \times 5 \times 17 \times 2 \times 3\\\\\\:\implies\sf LCM = 25 \times 17 \times 6\\\\\\:\implies\sf LCM = 150 \times 17\\\\\\:\implies\underline{\boxed{\textsf{LCM = 2,550 cm}}}$

⠀

$\therefore\:\underline{\textsf{Hence, each would travel \textbf{2,550 cm} to cover same distance}}.$