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Victoria and Margaret are 625 miles apart and traveling straight towards each other. If Victoria's speed is 55 mph and Margaret's speed is 70 mph, how many

Answer : Since Victoria and Margaret are moving in opposite directions therefore their velocities add up , hence relative velocity of approach = 55+70 = 125 mph Distance = 625 miles Hence velocity = distance / time or time = distance / velocity or time = 625 miles / 125 miles per hour = 5 hours

Let Vitoria and Margaret met after x hrs. Then, Time taken by both = x hr. Speed of Vitoria = 55 mph. Speed of Margaret = 70 mph. Now, Distance = Speed * Time Distance covered by Victoria in x hrs = 55x miles Distance covered by Margaret in x hrs = 70x miles. Total Distance = 70x + 55x There fore, 625 = 70x+55x [Since, Distance between Victoria and Margaret is 625 miles] 625 = 125x x=625/125 x=5 Therefore, Victoria and Margaret met after 5 hrs. Ans.