In a circular race of 1600 m in length, Bhaskar and Vinay start with speeds of 27 km/h and 45 km/h starting at the same time from the same point. When will they meet for the first time on the track when running in the opposite directions and the same direction, respectively?

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Step 1: Convert speeds from km/h to m/s.
- Bhaskar's speed = 27 km/h = (27 * 1000) / 3600 = 7.5 m/s
- Vinay's speed = 45 km/h = (45 * 1000) / 3600 = 12.5 m/s

Step 2: Calculate time to meet when running in opposite directions.
- Relative speed = 7.5 + 12.5 = 20 m/s
- Distance to meet = 1600 m (one full lap)
- Time = Distance / Relative speed = 1600 / 20 = 80 seconds = 1 minute 20 seconds

Step 3: Calculate time to meet when running in the same direction.
- Relative speed = 12.5 - 7.5 = 5 m/s
- Distance to meet = 1600 m
- Time = 1600 / 5 = 320 seconds = 5 minutes 20 seconds

Therefore, the first meeting times are 1 minute 20 seconds (opposite directions) and 5 minutes 20 seconds (same direction).

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