Higher November 2018 Paper 1 Q6
6. It takes
- 2 park keepers 1 hour to weed 2 flowerbeds
- 3 park keepers 2 hours to prune 6 trees.
At 9 a.m. one morning, 5 park keepers start work as follows.
| Number of park keepers | Activity | |
|---|---|---|
| 2 | Weed: | 2 flowerbeds |
| 3 | Prune: | 13 trees |
When one activity has been completed all the park keepers work on the other activity.
You may assume that all the park keepers work at the same rate and are equally skilled.
How long does it take for the park keepers to complete the pruning and weeding?
You must show all your working. [5]
| Scheme | Marks | Comments | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 5 park keepers pruning after 1 hour | B1 | seen or implied | ||||||||||||
| 10 trees left to prune | B1 | seen or implied | ||||||||||||
| Fully correct method in steps or statements e.g.
| M1 | seen or implied; FT ‘their derived 10’ or \(2\times\dfrac{3}{5}\times\dfrac{10}{6}\) Allow equivalent working in minutes | ||||||||||||
| 2 (hours) | A1 | Seen or implied | ||||||||||||
| 3 (hours) | A1 | FT ‘their 2’ provided M1 has been awarded | ||||||||||||
| (5) |