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Let the distance to be travelled be ‘x’ km Time taken when speed is 10 km/hr = (x/10) hours Time taken when speed is 15 km/hr = (x/15) hours According to the question, (x/10) – (x/15) = 2 Or, 3x – 2x = 2 × 30 Or, x = 60 km Time taken to travel 60 km with speed of 10 km/hr = 60/10 = 6 hours Therefore, he started at 12 – 6 = 6 a.m. Therefore, required speed to reach the destination at 11 a.m. or 5 hours = 60/5 = 12 km/hr
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