Mathematics

Mathematics

Problem

At noon a boat is 10 km east of a pier and sailing due east at 30 km/h. At the same time a second boat is leaving the pier and sailing due north at 40 km/h. How fast is the distance between the two boats changing at 1:00 p.m.? a) 70 km/h70\text{ km/h} b) 56.6 km/h56.6\text{ km/h} c) ≈49.5 km/h\approx 49.5\text{ km/h} d) 50.0 km/h50.0\text{ km/h}

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