The graph below shows the total number of cars painted by two different robots, Robot A and Robot B over a period of 10 hours at a constant rate. Robot B stopped working after 5 hours while Robot A continued painting the cars at the same constant rate as before.

Total Number of Cars Painted by A and B

Answer the questions on the next page.
  1. (a)

    How many cars did Robot A and B paint altogether before Robot B stopped working?

    Ans: (a) ___

  2. (b)

    How many cars did Robot A paint over the 10 hours?

    Ans: (b) ___

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Worked solution

14(a)

1. Identify the time when Robot B stopped working

From the question, Robot B stopped working after 5 hours.

2. Read the total number of cars painted at 5 hours from the graph

At t=5t = 5 hours, the graph shows the total number of cars painted is 5050.

Answer

50

14(b)

1. Find the number of cars painted by Robot A alone in the last 5 hours

From the graph, the total number of cars painted at 5 hours is 5050, and at 10 hours is 8585.
Number of cars painted by Robot A from 5 to 10 hours = 85−50=3585 - 50 = 35

2. Calculate the total number of cars painted by Robot A over the 10 hours

Since Robot A paints at a constant rate, the number of cars it paints in 10 hours is twice the amount it paints in 5 hours.
Total cars painted by Robot A = 35×2=7035 \times 2 = 70

Answer

7070

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