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?

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07-06-2021
Mathematics

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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?

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colinspurdle colinspurdle · Answer 1 · 2021-06-07T10:03:18+02:00

colinspurdle colinspurdle

07-06-2021

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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