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. after how many minutes will they meet again at the starting point?

(a) 54
(b) 24
(c) 36
(d) 72

Answer 1

Priya and Ravish will meet again at the starting point after every 36 minutes, which is the least common multiple of their individual round-trip times, 18 and 12 minutes respectively.option c is correct

Step-by-step explanation:

To solve this problem, we need to determine how frequently Priya and Ravish meet at the starting point when they drive around a sports field. Priya takes 18 minutes per round, whereas Ravish takes 12 minutes per round. To find out when they meet again at the starting point, we look for the least common multiple (LCM) of their round-trip times.

Calculating the LCM of 18 and 12:

1. List the multiples of 18 (18, 36, 54, 72, ...)
2. List the multiples of 12 (12, 24, 36, 48, 60, 72, ...)
3. Identify the smallest multiple that appears in both lists. This is the LCM.

In this case, the LCM of 18 and 12 is 36. Therefore, Priya and Ravish will meet again at the starting point after every 36 minutes.

So, the correct answer is (c) 36.