Higher November 2024 Paper 1 Q8
8
(a) In this part, assume that each person works at the same rate.
10 people can complete a job in 9 hours.
If 15 people work on the same job, how many hours will it take to complete the job? [2 marks]
(b) In fact, of the 15 people
6 work at a slower rate
9 work at a faster rate.
What does this mean about the number of hours it will take to complete the job?
Tick one box. [1 mark]
- It is greater than the answer to (a)
- It is the same as the answer to (a)
- It is less than the answer to (a)
- It is not possible to say
| Answer | Mark | Comments |
|---|---|---|
| \(10 \times 9\) or 90 or \(\dfrac{10}{15} \times 9\) or \(9 \div \dfrac{15}{10}\) or correct time for any stated number of people other than 10 | M1 | oe eg 18 hours for 5 people |
| 6 | A1 | SC1 360 (minutes) |
Additional guidance
| M1 may be awarded for correct work with no answer or incorrect answer, even if this is seen amongst multiple attempts | |
| Working may be seen in minutes eg \(10 \times 9 \times 60\) or 5400 | M1 |
| Answer | Mark | Comments |
|---|---|---|
| It is not possible to say | B1 |