Mathematics 4024 · O Level · Rates

Rates — practice question

$ABCD$ is a field. Its sides are $AB = 320\text{ m}$, $BC = 250\text{ m}$, $CD = 132\text{ m}$ and $AD = 365\text{ m}$. Angle $BCD = 90^\circ$.
(a)[3]

Ray travels from $A$ to $B$ with an average speed of $1.6\text{ m/s}$. He then continues from $B$ to $C$ with an average speed of $2.8\text{ m/s}$. Calculate Ray’s average speed for the journey from $A$ to $B$ to $C$.

(b)[5]

The bearing of $D$ from $A$ is $243^\circ$. Calculate the bearing of $B$ from $A$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: The answer is $1.97$.

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