32. Two creepers, one jasmin and other rose, are both climbing up and round a cylindrical tree trunk. jasmine twists clockwise and rose anticlockwise, both start at the same point on the ground. before they reach the first branch of the tree the jasmine had made 5 complete twists and the rose 3 twists. not counting the bottom and the top, how many times do they cross?
Two objects with speeds 5w and 3w. Our equations of motion give us:
360=5wt + 3wt = 8wt
t = 360 / 8w
:Ttotal / time between coincidence
:(360 / w) / (360 / 8w)
:8
since the division is exact we know that the last coincidence is at t = Ttotal, hence there are 7 overlaps not including the top and bottom.
Read full article from Answer to Puzzle #32: Two Creepers Climbing a Tree
Two objects with speeds 5w and 3w. Our equations of motion give us:
360=5wt + 3wt = 8wt
t = 360 / 8w
Total Coincidence
An overlap occurs every 360 / 8w for a time of Ttotal = 360 / w hence the number of coincidence is:Ttotal / time between coincidence
:(360 / w) / (360 / 8w)
:8
since the division is exact we know that the last coincidence is at t = Ttotal, hence there are 7 overlaps not including the top and bottom.
Read full article from Answer to Puzzle #32: Two Creepers Climbing a Tree
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