Question

question 4: ben drove 60 kilometres, from his home to liverpool. he stopped and visited his friend tim on the way. (a) work out bens speed for the first part of his journey. (b) how long did ben spend visiting tim? (c) work out bens speed for the last part of his journey.

Explanation:

Step1: Calculate speed for the first part

Speed = Distance / Time. From the graph, for the first part, distance \(d = 30\) km. Time taken: from \(13:00\) to \(14:00\) is \(1\) hour. So speed \(v=\frac{30}{1}=30\) km/h.

Step2: Find time spent visiting Tim

When visiting Tim, distance is constant. From \(14:00\) to \(15:30\), time \(t = 1.5\) hours.

Step3: Calculate speed for the last part

Distance for last part \(d=60 - 30=30\) km. Time taken: from \(15:30\) to \(17:00\) is \(1.5\) hours. Speed \(v=\frac{30}{1.5}=20\) km/h.

Answer:

(a) \(30\) km/h
(b) \(1.5\) hours
(c) \(20\) km/h