Higher November 2018 Paper 1 Q18
18 Beth and Mia translate documents from Spanish into English.
A set of documents that would take Beth 8 days would take Mia 10 days.
Beth starts to translate the documents.
After 2 days Beth and Mia both work on translating the documents.
How many more days will it take to complete the work?
You must show your working. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| \(\dfrac{1}{4}\) (completed) or \(\dfrac{3}{4}\) (left) | M1 | oe eg 25% (completed) or 75% (left) |
| \(\dfrac{1}{8} + \dfrac{1}{10}\) or \(\dfrac{9}{40}\) | M1 | oe eg 12.5% + 10% or 22.5% |
| \(\dfrac{3}{4} \div\) their \(\dfrac{9}{40}\) | M1dep | oe eg 75% \(\div\) their 22.5% dep on M1M1 |
| \(3\dfrac{1}{3}\) or 4 days with correct working seen | A1 | oe |
| Alternative method 2 – assumes a number of pages (eg 80) | ||
| \(\dfrac{3}{4} \times\) their 80 or 60 | M1 | oe |
| \(\dfrac{1}{8} \times\) their 80 or 10 and \(\dfrac{1}{10} \times\) their 80 or 8 | M1 | oe |
| their \(60 \div\) (their 10 + their 8) | M1dep | oe dep on M1M1 |
| \(3\dfrac{1}{3}\) or 4 days with correct working seen | A1 | oe |
Additional guidance
| 8 – 2 = 6, 10 – 6 = 4, answer 4 | M0M0M0A0 |
| In alt 1, for the third mark allow a build-up method in percentages, fractions or decimals showing that 3 days is not enough (and 4 is enough) eg 47.5%, 70%, 92.5%, (115%), answer 4 | M1M1M1A1 |