Ann drove for $4$ hours at an average speed of $x$ km/h and then for $6$ hours at an

Question

Ann drove for $4$ hours at an average speed of $x$ km/h and then for $6$ hours at an average speed of $y$ km/h. She drove a total distance of $816$ km. Write down an equation in terms of $x$ and $y$, and show that it simplifies to $2x+3y=408$. Ken drove for $3$ hours at an average speed of $x$ km/h and then for $5$ hours at an average speed of $y$ km/h. He drove a total distance of $654$ km. Write down an equation in terms of $x$ and $y$, to represent this information. Solve the two equations to find the value of $x$ and of $y$.

Accepted Answer

(a) $4x+6y=816$, hence $2x+3y=408$ (b) $3x+5y=654$ (c) $x=78,\ y=84$

Simultaneous Equations from Distance–Speed–Time Problems

Simultaneous Equations from Distance–Speed–Time Problems

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