5. Ger drove from Dublin to Cork. It took him 2 hours and 45 minutes at an average speed of 110 km/h. Lyn also drove from Dublin to Cork. She took 3 hours and 15 minutes.


Assuming that Lyn drove along the same roads as Ger and did not take a break:


(i) Work out Lyn’s average speed, to the nearest km/h, from Dublin to Cork.


(ii) If Lyn did not drive along the same roads as Ger, explain how this could aff ect your answer to part (i).


6. (i)


At 9 am, Brandon left home on his bicycle. From 9 am to 9:36 am, he cycled at an average speed of 15 km/h. From 9:36 am to 10:45 am, he cycled a further 8 km.


Calculate his average speed for the entire journey above. Give your answer to one decimal place.


(ii) From 10:45 am to 11 am, Brandon cycled at an average speed of 18 km/h.


Find the distance Brandon cycled from 10:45 am to 11 am.


7. A train travels for 0·4 hours with a constant speed of 81 km/h and then for another 40 minutes with a constant speed of 36 km/h.


What is its average speed for the total trip? Give your answer correct to one decimal place.


8. Laura drives for 3 hours at 44 km/h.


Clare drives 144 km in 4 hours.


(i) Who travels the greater distance? (ii) Who travels at a lower average speed?


(iii) How far would Laura travel if she drove for 3 hours at the same speed as Clare?


Time (minutes)


(i) Explain why the graph is not a straight line by referring to the width of the vase and the eff ect this will have on the rate of change (slope).


(ii) Draw a depth/time graph to represent the change in depth over time as the vase shown on the right is fi lled.


9. The distance/time graph below shows a 1000-metre race.


y


900 1000


600 700 800


500


400 300 200 100


0 0.5 1 1.5 Carl Ben Alan


2 2.5 3.5 4.5 3 Time (minutes) (i) Who won the race? Justify your answer.


(ii) Tell the story of the race. Make sure to include as much detail as possible and to refer to each of the runners.


Use evidence from the graph to justify all statements made.


10. A conical vase is fi lled with water. The image below shows the shape of the vase and the depth/time graph representing the changes in depth as it is fi lled.


4


5


x


Now that you have completed the unit, revisit the


Something to think about …


230 question posed at the start of this unit.


Now try questions 1 and 6 on pages 403–5


Distance (metres)


Distance (cm)


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