Higher June 2022 Paper 2 Q11
11 Kieron has 13 workers he can use for a job.
He knows that 6 workers would take \(14\dfrac{1}{2}\) days to complete this job.
Show that Kieron has enough workers to finish this job in less than 7 days. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| Shown | M1 | for \(6 \times 14.5\ (= 87)\) or \(13 \times 7\ (= 91)\) or \(13 \div 6\ (= 2.16(666\ldots))\) |
| M1 | for \(\text{``}87\text{''} \div 7\ (= 12.428...)\) or \(\text{``}87\text{''} \div 13\ (= 6.692\ldots)\) or \(6 \times 14.5\ (= 87)\) and \(13 \times 7\ (= 91)\) or \(14.5 \div \text{``}2.16\text{''}\ (= 6.692...)\) | |
| C1 | (dep M2) for 12.(428…) (workers) or 6.69(2…) (days) or 87 and 91 |
Additional guidance
May work in hours or other units of time
Accept figure rounded or truncated to 1dp
Figures must be correct and supported by working.
Accept value in range 6.69 to 6.72 for number of days