There is a square path around a field.Dia takes 21 minutes to walk one round of the field, her friend Mina takes 15 minutes for the same.Suppose they both start from the same point at the same time and go in the same direction.After how many minutes will they meet again at the starting point?
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Prime factorization of 21 = 3 * 7
Prime factorization of 15 = 3 * 5
LCM(21,15) = 3 * 5 * 7
= 105.
Therefore they will meet together at the starting point after 105 minutes (or) 1 hour 45 minutes.
Hope this helps!
DIA takes 21 minutes to walk one round of the field.
Whereas,
Mina takes 15 minutes for the same.
Factorisation of 21 : - 3 × 7
Factorisation of 15 : - 3 × 5
Therefore, LCM of 21 and 15 =
3 ×7 × 5 = 105 minutes.
Therefore, after 105 minutes ( i.e. 1 hour 45 mins ) they will meet again at the starting point !
Hope this helps !