There is a circular path around a sports field. Sonia takes 18 minutes

1.	There is a circular path around a sports field. Sonia takes 18 minutes to drive one roundof the field, while Ravi takes 12 minutes for the same. Suppose they both start at thesame point and at the same time, and go in the same direction. After how many minuteswill they meet again at the starting point?
Answer» Step-by-step explanation: To find the required NUMBER of MINUTES Let us find the LCM of 18 and 12 We have 18 => 2 × 3 × 3 = 2 × 3² 12.=> 2 × 2 × 3 = 2² × 3 LCM (18,12) => 2² × 3² = 36 After 36 minutes Sonia will be at the starting point after completing 2 rounds of the field and RAVI also be at same point after 3 rounds

There is a circular path around a sports field. Sonia takes 18 minutes to drive one roundof the field, while Ravi takes 12 minutes for the same. Suppose they both start at thesame point and at the same time, and go in the same direction. After how many minuteswill they meet again at the starting point?

Answer»

Step-by-step explanation:

To find the required NUMBER of MINUTES

Let us find the LCM of 18 and 12

We have

18 => 2 × 3 × 3 = 2 × 3²

12.=> 2 × 2 × 3 = 2² × 3

LCM (18,12) => 2² × 3² = 36

After 36 minutes Sonia will be at the starting point after completing 2 rounds of the field and RAVI also be at same point after 3 rounds

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