Question

please answer this question​

Answer 1

||✪✪ QUESTION ✪✪||

There is a circular path around a sports field. sonia takes 18 mins. to drive one round of the field,while ravi takes 12 mins for the same . suppose they both start at the same point and at the same time,and go in the same direction. after how many minutes will the meet again at the starting point ?

|| ★★ CONCEPT USED ★★ ||

→ Circular Track :-

• Racing on a circular track means running on a circular path such that the starting point and the finishing point coincide with each other. Let two athletes U and V started running on a circular track of length L metres from a same starting point P. The speed of U is u m/s and that of V is v m/s.

→ When will they meet at starting point for the first time :-

Time taken to meet for the 1st time at starting point, T = LCM of both Time taken by them individually.

|| ✰✰ ANSWER ✰✰ ||

it has been given that, Sonia takes 18 min. to drive round while Ravi takes 12 minutes . And They started at same point in same Direction .

So,

To find the required number of minutes

Let us find the LCM of 18 and 12 :----

→ 18 = 2 * 3 * 3 = 2 * 3²

→ 12 = 2 * 2 * 3 = 2² * 3

[ Note :- The least common multiple (LCM) of 2 numbers is the smallest number that they both divide evenly into. ]

So,

→ LCM = 2² * 3² = 4 * 9 = 36 minutes .

So, After 36 Minutes Sonia will be at starting point again After completing = (36/18) = 2 Rounds

And,

Ravi will be at starting Point again After completing = (36/12) = 3 Rounds..

Hence, we can say that, After 36 minutes They will meet again at same Time at starting Point .

Answer 2

Answer:

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Step-by-step explanation:

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