A car of mass $1250{\text{ }}kg$ is travelling along a straight horizontal road with its engine working at a constant rate of $P{\text{ W}}$. The resistance to the car’s motion is constant and equal to $R{\text{ N}}$. When the speed of the car is $19{\text{ }}m{\text{ }}{s^{ - 1}}$ its acceleration is $0.6{\text{ }}m{\text{ }}{s^{ - 2}}$, and when the speed of the car is $30{\text{ }}m{\text{ }}{s^{ - 1}}$ its acceleration is $0.16{\text{ }}m{\text{ }}{s^{ - 2}}$. Find the values of $P$ and $R$.
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