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During a cycle race,two persons A & B m...

During a cycle race,two persons A & B moving with velocity 16 m/s & 12 m/s respectively.At " t=0, B observes A,10m ahead of him, in order to win the race they start accelerating at 1 m/`s^(2)` and 2 m/`s^(2)`respectively. Unfortunately both finish simultaneously.The time (in sec) at which they finish the race is euqal to (t=10k), then value of k is ?

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