Mathematics 0580 · IGCSE · Graphs in practical situations

Graphs in practical situations — practice question

The travel graph presents one section of a train trip from station $A$ to station $C$. The vertical axis is labelled Distance (km), with Station A at 0 km, Station B at 80 km and Station C at 150 km. The horizontal axis is labelled Time, ranging from 12:30 to 15:30.
(a(i))[2]

Calculate, in km/h, the train’s speed between station $A$ and station $B$.

(a(ii))[1]

How many minutes did the train remain at station $B$?

(a(iii))[1]

Finish the travel graph for the journey from station $B$ to station $C$.

(a(iv))[1]

Which section of the journey was the train moving faster? Between station $\ldots$ and station $\ldots$.

(b(i))[2]

Work out the time taken for this journey, in hours and minutes.

(b(ii))[1]

Write down the time at which this train reaches station $A$.

(b(iii))[1]

Show the journey of this train on the grid.

(b(iv))[1]

Find the distance from station $A$ when the two trains pass each other.

Worked solution & mark scheme

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