Let the distance to be travelled be ‘x’ km Time taken when speed is 24 km/hr = (x/24) hours Time taken when speed is 36 km/hr = (x/36) hours According to the question, (x/24) – (x/36) = 2 Or, 3x – 2x = 2 × 72 Or, x = 144 km Time taken to travel 144 km with speed of 24 km/hr = 144/24 = 6 hours Therefore, he started at 12 – 6 = 6 a.m. Therefore, required speed to reach the destination at 11 a.m. or 4 hours = 144/5 = 28.8 km/hr
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