Ten ants are on the real line. At time t=0, the k-th ant starts at the point k2 and travelling at uniform speed, reaches the point (11–k)2 at time t=1. The number of distinct times at which at least two ants are at the same location is

Ten ants are on the real line. At time t=0, the k-th ant starts at the

1.	Ten ants are on the real line. At time t=0, the k-th ant starts at the point k2 and travelling at uniform speed, reaches the point (11–k)2 at time t=1. The number of distinct times at which at least two ants are at the same location is
Answer» Ten ants are on the real line. At time $t = 0$ , the $k$ -th ant starts at the point $k^{2}$ and travelling at uniform speed, reaches the point $(11 - k)^{2}$ at time $t = 1$ . The number of distinct times at which at least two ants are at the same location is

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Ten ants are on the real line. At time t=0, the k-th ant starts at the point k2 and travelling at uniform speed, reaches the point (11–k)2 at time t=1. The number of distinct times at which at least two ants are at the same location is

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