Question

There is a circular path around a sports field. Sita takes 18minutes to drive one round of the field. Geetha takes 24 minutes. Suppose they both start at the same point and at the same time and go in the same direction. After how many minutes will they meet ? *​

Answer 1

Answer:

72

Step-by-step explanation:

LCM of 18 and 24=72 so Sita and Geetha will meet after 72 minutes.

Answer 2

Given :

• There is a circular path around a sports field.
• Sita takes 18 minutes to drive one round of the field.
• Geetha takes 24 minutes.
• They both start at the same point and at the same time and go in the same direction.

To find :

• They meet after =?

Step-by-step explanation :

The time of their meeting is the LCM of 18 and 24 in minutes.

LCM of 18, 24

$\begin{array}{c|c|c}2 & 18 & 24\\\cline{1-3} 2 & 9 &12\\\cline{1-3} 3 & 3 & 4\\\cline{1-3}3 & 1 & 4\\\cline{1-3}4 & 1 & 1\\\cline{1-3}\end{array}$

Hence, LCM of 18, 24 = 2 × 3 × 3 × 2 × 2 = 72

Therefore, Seetha and Geetha meet after 72 minutes.