Question 1207791
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All three responses have the same answer; tutor @ikleyn simply misread the solutions from the other two tutors.<br>
Tutor @ikleyn says it take 18.75 seconds for the two bees to meet for the first time and 56.25 seconds FROM THE START for them to meet the second time.<br>
Both of the other responses say that it take 18.75 seconds for the two bees to meet the first time and THEN ANOTHER 35 seconds for them to meet the second time.<br>
So the three responses are in agreement.<br>
The way I see it, similar to how tutor @Edwin explains it, we can model the solution with a graph showing the two bees "bouncing" between two walls 150m apart.  To meet the first time, the two bees simply have to cover the total distance between the two walls, a distance of 150m.  But to meet the second time, each bee has to continue to its second wall and then bounce off it and then meet the other bee; to do that the two bees together must travel a distance equal to TWICE the distance between the walls.<br>
So, at a combined speed of 8m/sec, it takes 150/8 = 18.75 seconds for them to meet the first time but then another 300/8 = 37.5 seconds for them to meet the second time.<br>