Rate of change on a curve

A question is this type if and only if it gives a curve equation and states that a point moves along it with given rates of change of x and y coordinates, requiring the x-coordinate of the point to be found.

1 questions · Standard +0.3

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CAIE P1 2020 March Q4

4 marks Standard +0.3

4 A curve has equation \(y = x ^ { 2 } - 2 x - 3\). A point is moving along the curve in such a way that at \(P\) the \(y\)-coordinate is increasing at 4 units per second and the \(x\)-coordinate is increasing at 6 units per second. Find the \(x\)-coordinate of \(P\).