Question

There is a circular path around a sports field. Priya takes 18 minutes to drive one round of the field, while Ravish takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction.

(i) After how many minutes will they meet again at the starting point ?

(ii) Which mathematical concept is used in this problem?

(iii) What value is discussed in this problem ?

Answer 1

(i) Required number of minutes is the LCM of 18 and 12.

18 = 2 x 3²

and 12 =  2² x 3 

.'. LCM of 18 and 12 = 2² x 3² = 36

Hence, Ravish and Priya will meet again at the starting point after 36 minutes.

(ii) LCM of numbers

(iii) Healthy competition is necessary for personal development and progress