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The grid shows the travel graph for a train travelling from Audley to Cawley, stopping at Brookland.
When the train reaches Cawley, it waits for $$10$$ minutes.
It then returns to Audley without stopping at Brookland.
The return speed of the train is $$70\ km/h $$.
(i) Complete the travel graph for this train.
(ii) Write down the time this train arrives at Audley.
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Solution
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The train returns from Cawley to Audley at a speed of $$70\quad { km }/{ h }$$
Distance between these two stations is $$35\quad km$$
We know that $$speed=\frac { distance }{ time } $$
$$\therefore 70=\frac { 35 }{ t } $$
$$\therefore t=\frac { 35 }{ 70 } $$
$$\therefore t=\frac { 1 }{ 2 } \quad hour$$
$$\therefore t=\frac { 1 }{ 2 } \times 60\quad minutes$$
$$\therefore t=30\quad minutes$$
Distance between these two stations is $$35\quad km$$
We know that $$speed=\frac { distance }{ time } $$
$$\therefore 70=\frac { 35 }{ t } $$
$$\therefore t=\frac { 35 }{ 70 } $$
$$\therefore t=\frac { 1 }{ 2 } \quad hour$$
$$\therefore t=\frac { 1 }{ 2 } \times 60\quad minutes$$
$$\therefore t=30\quad minutes$$
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