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Saurav and Sachin are running on a 500 m circular track. Their speeds are 8 km/hr and 5 km/hr, respectively. After what time will they meet for the first time at the starting point if they start simultaneously in the same direction?
  • a)
    60 minutes
  • b)
    45 minutes
  • c)
    30 minutes
  • d)
    20 minutes
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Saurav and Sachin are running on a 500 m circular track. Their speeds ...
To solve this problem, we need to find the time at which Saurav and Sachin meet for the first time at the starting point.

Given:
- Saurav's speed = 8 km/hr
- Sachin's speed = 5 km/hr
- Circular track distance = 500 m

Let's break down the solution into steps:

Step 1: Convert the speeds to m/s
- Saurav's speed = 8 km/hr = (8 * 1000) m/ (60 * 60) s = 8000/3600 m/s ≈ 2.22 m/s
- Sachin's speed = 5 km/hr = (5 * 1000) m/ (60 * 60) s = 5000/3600 m/s ≈ 1.39 m/s

Step 2: Calculate the relative speed of Saurav and Sachin
- Relative speed = Saurav's speed - Sachin's speed
= 2.22 m/s - 1.39 m/s
= 0.83 m/s

Step 3: Calculate the time taken to cover the circular track
- Time taken = Distance / Speed
= 500 m / 0.83 m/s
≈ 602.4 s

Step 4: Convert the time to minutes
- Time taken in minutes = 602.4 s / 60 s/min
≈ 10.04 min

Therefore, Saurav and Sachin will meet for the first time at the starting point after approximately 10.04 minutes, which can be rounded off to 10 minutes or option 'C'.
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