SOLUTION: Two bees leave two locations 180 meters apart and fly, without stopping, back and forth between these two locations at average speeds of 4 meters per second and 7 meters per second

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Question 1207824: Two bees leave two locations 180 meters apart and fly, without stopping, back and forth between these two locations at average speeds of 4 meters per second and 7 meters per second, respectively. How long is it until the bees meet for the first time? How long is it until they meet for the second time?
Answer by greenestamps(13209) About Me  (Show Source):
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To meet the first time, the two bees together must travel the whole distance of 180 meters. Since their combined speed is 11 m/sec, the time required to meet the first time is 180/11 seconds.

After the first meeting, each bee must continue to its second location and then travel back in the opposite direction until the two bees meet. So in the time between the first and second meetings, the two bees must travel a distance equal to 2*180m = 360m. So the time between the first and second meetings is 360/11 seconds.

ANSWERS:
Time from the beginning to the first meeting: 180/11 seconds
Time from the beginning to the second meeting: 180/11 + 360/11 = 540/11 seconds

For a discussion by several tutors of the same problem with different numbers, see this link:

https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.1207791.html