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Mathematics, 16.10.2020 19:01 ghaithalhamdani

Rays OM , ON , and OP coincide at time t=0. At the same instant in time, OM and OP begin to rotate in the plane about point O, but in opposite directions. Ray ON remains fixed. Ray OM rotates at a constant rate of 3° per second with respect to ON , while OP rotates at a constant rate of 6° per second. What is the smallest positive value of t, in seconds, in which rays OM and OP will coincide again? When t=30 min, how many more revolutions has ray OP completed than ray OM ?

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