Question

Arun and Shah Jahan goes for a walking in a circular path of a park in the same direction takes 6 minutes to complete one round and why Sajid Khan takes 8 minutes to complete one round in how many minutes they will meet each other​

Answer 1

After 24 minutes, they will meet each other.

Step-by-step explanation:

• Suppose, Arun and Shah Jahan walking with speed 's' miter per second.

• Then, s = $\dfrac{2\pi r}{6}$    ['r' is the radius of park.]

Let the speed of Sajid Khan be x miter per second.

• So, x = $\dfrac{2\pi r}{8}$

Since, they all are walking in the same direction.

• The relative speed =$\dfrac{2\pi r}{6} - \dfrac{2\pi r}{8} = \dfrac{\pi r}{12}$

Now, we assume that they will meet after 't' minutes.

• t = $\dfrac{2\pi r}{relative \ speed}$

t =$\dfrac{2\pi r}{\dfrac{\pi r}{12}}$

t = 24 minutes

Therefore, after 24 minutes, they will meet each other.

Answer 2

Arun and Shah Jahan will meet after 24 min.

It is the application of LCM.

Explanation:  

If you are preparing for competitive examination so you make concept not a lengthy solution,

The concept is here if some persons are running on a circular track and complete the track in different times and you can find the easily how much time later they meet, just taking Lowest common factor(LCM) of their times is the result .

LCM of 6 and 8 is 24  

So, Arun and Shah Jahan will meet after 24 minutes.

It is the application of LCM.