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Person A leaves his home to visit his cousin, person B, who lives 243 miles away. He travels at an average rate of 46 miles per hour. One half-hour later, person B leaves her house to visit person A, traveling at an average rate of 64 miles per hour. How long after person B leaves will it be before they meet?
They meet (or pass) each other two hours after B leaves.
When B starts trip A has already gone 23 miles (46 x 0.5) This means they are still 220 miles apart. Their closing speed is 46 + 64 = 110 mph. They will meet 2 hours after B leaves home. (220 / 110)
A will have travelled 46 x 2.5 = 115 miles and B will have travelled 2 x 64 = 128 miles
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