Two trains left Frog City at the same time. One traveled north at 70 miles pe hour, the other traveled east at 50 miles per hour. How far apart were the trains at the end of THREE hours?

After three hours, the northbound train has traveled 70 mph × 3 hours = 210 miles, and the eastbound train has traveled 50 mph × 3 hours = 150 miles. Since the paths are perpendicular, we can use the Pythagorean theorem to find the distance between the trains:   Distance² = (210 miles)² + (150 miles)²   Distance² = 44100 + 22500   Distance² = 66600 Taking the square root of both sides:   Distance = √66600   Distance = 30√74 miles (approximately 258 miles) So, the trains are 30√74 miles apart, which is about 258 miles.