The problem can be solved in the following steps:

Step 1: Understand the problem
Abhi and Sam are running in opposite directions on a circular track of 180m. They start at 12 AM and meet at the starting point at 12:20 AM. The ratio of their speeds is 3:5. We need to find the time they first meet.

Step 2: Calculate total distance covered
They meet at the starting point after 20 minutes, which means they have covered the track's length multiple times. The total distance covered by both is twice the length of the track multiplied by the number of times they have covered it. Since they meet at the starting point, the total distance covered is a multiple of the track's length. Let's assume they covered the track 'n' times. So, the total distance covered by both is 2*180*n = 360n.

Step 3: Calculate individual distances covered
The ratio of their speeds is 3:5, which means the distance covered by them will be in the same ratio. So, the distance covered by Abhi is (3/8)*360n = 135n and the distance covered by Sam is (5/8)*360n = 225n.

Step 4: Calculate time taken to meet
They start at the same time and meet for the first time when both have covered their respective distances. The time taken by Abhi is distance/speed = 135n/3 = 45n and the time taken by Sam is 225n/5 = 45n. Since they meet for the first time, the time taken is the same for both, which is 45n.

Step 5: Convert time to seconds
The time taken is 45n minutes. To convert it to seconds, we multiply by 60. So, the time taken to meet for the first time is 45n*60 = 2700n seconds.

Since they meet at the starting point at 12:20 AM, n must be 1. So, the time taken to meet for the first time is 2700*1 = 2700 seconds.

Question

The problem can be solved in the following steps:

Step 1: Understand the problem
Abhi and Sam are running in opposite directions on a circular track of 180m. They start at 12 AM and meet at the starting point at 12:20 AM. The ratio of their speeds is 3:5. We need to find the time they first meet.

Step 2: Calculate total distance covered
They meet at the starting point after 20 minutes, which means they have covered the track's length multiple times. The total distance covered by both is twice the length of the track multiplied by the number of times they have covered it. Since they meet at the starting point, the total distance covered is a multiple of the track's length. Let's assume they covered the track 'n' times. So, the total distance covered by both is 2*180*n = 360n.

Step 3: Calculate individual distances covered
The ratio of their speeds is 3:5, which means the distance covered by them will be in the same ratio. So, the distance covered by Abhi is (3/8)*360n = 135n and the distance covered by Sam is (5/8)*360n = 225n.

Step 4: Calculate time taken to meet
They start at the same time and meet for the first time when both have covered their respective distances. The time taken by Abhi is distance/speed = 135n/3 = 45n and the time taken by Sam is 225n/5 = 45n. Since they meet for the first time, the time taken is the same for both, which is 45n.

Step 5: Convert time to seconds
The time taken is 45n minutes. To convert it to seconds, we multiply by 60. So, the time taken to meet for the first time is 45n*60 = 2700n seconds.

Since they meet at the starting point at 12:20 AM, n must be 1. So, the time taken to meet for the first time is 2700*1 = 2700 seconds.

Knowee AI · Accepted Answer

The problem can be solved in the following steps:

Step 1: Understand the problem
Abhi and Sam are running in opposite directions on a circular track of 180m. They start at 12 AM and meet at the starting point at 12:20 AM. The ratio of their speeds is 3:5. We need to find the time they first meet.

Step 2: Calculate total distance covered
They meet at the starting point after 20 minutes, which means they have covered the track's length multiple times. The total distance covered by both is twice the length of the track multiplied by the number of times they have covered it. Since they meet at the starting point, the total distance covered is a multiple of the track's length. Let's assume they covered the track 'n' times. So, the total distance covered by both is 2*180*n = 360n.

Step 3: Calculate individual distances covered
The ratio of their speeds is 3:5, which means the distance covered by them will be in the same ratio. So, the distance covered by Abhi is (3/8)*360n = 135n and the distance covered by Sam is (5/8)*360n = 225n.

Step 4: Calculate time taken to meet
They start at the same time and meet for the first time when both have covered their respective distances. The time taken by Abhi is distance/speed = 135n/3 = 45n and the time taken by Sam is 225n/5 = 45n. Since they meet for the first time, the time taken is the same for both, which is 45n.

Step 5: Convert time to seconds
The time taken is 45n minutes. To convert it to seconds, we multiply by 60. So, the time taken to meet for the first time is 45n*60 = 2700n seconds.

Since they meet at the starting point at 12:20 AM, n must be 1. So, the time taken to meet for the first time is 2700*1 = 2700 seconds.

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