Foundation November 2019 Paper 2 Q28
28 The number of days, \(d\), that it will take to build a house is given by
\[d = \frac{720}{n}\]where \(n\) is the number of workers used each day.
Ali’s company will take 40 days to build the house.
Hayley’s company will take 30 days to build the house.
Hayley’s company will have to use more workers each day than Ali’s company.
How many more? (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 6 | M1 | for \(720 \div 40\ (= 18)\) or \(720 \div 30\ (= 24)\) |
| M1 | for a complete process eg \((720 \div 30) - (720 \div 40)\) or \(\text{``}18\text{''} \times 4/3 - \text{``}18\text{''}\) or \(\text{``}24\text{''} - \text{``}24\text{''} \times 3/4\) | |
| A1 | cao |