Unit 9 Graphs Mike walks to the doctor’s surgery. He stops to talk to a friend on the way home. The graph shows his journey. a How far is the doctor’s surgery from Mike’s home? b How long does Mike spend in the surgery? c How long does he spend talking to his friend? d On which part of the journey is Mike walking fastest? Mike’s journey 2 Distance from home (km) 6 1 0 0 30 90 Bob leaves home at 10 am and cycles 5 km to the sports centre. It takes him _41 of an hour. He spends 2_ 12 hours at the sports centre. He starts to cycle home on the same route and after 4 km stops at a friend’s house. He arrives at 1 pm and stays 1_ 12 hours. He gets home at 2.35 pm. a Draw a distance–time graph to show Bob’s journey. b On which part of the journey was he cycling the fastest? 8 The graph shows two bus journeys. One bus leaves Southampton at 9 am and travels to Winchester. The other bus leaves Winchester at 9 am and travels to Southampton. a Which line shows the Winchester to Southampton bus? b What time does each bus get to its destination? c Which bus journey is faster? 100 90 80 70 60 50 40 30 20 10 0 9 am Sasha and Kelly go hill walking along the same route. Height above sea level (feet) 9 Distance from Southampton (km) 7 Q8a hint The vertical axis shows the distance from Southampton. Bus journeys 10 am 11 am Time 12 pm Hill walking journey 3000 Kelly 2000 Sasha 1000 0 8 am 9 am 10 am Time 11 am The graph shows their journeys. a How high do they climb? b How long does it take Sasha to reach the top? c How long does it take Kelly to reach the top? d At what time does Kelly overtake Sasha? 260 60 Time (minutes) 12 pm Q9d hint At what time are they both at the same height?