Foundation June 2018 Paper 1 Q14
14 2 people working at the same rate will take 6 hours to paint a room.
(a) Assuming that they all work at this rate,
how long will it take 3 people to paint the room? [2 marks]
(b) In fact, the third person works at a faster rate.
How does this affect the time to paint the room? [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| \(2 \times 6\) or 12 or \(6 \times \dfrac{2}{3}\) or \(6 - \dfrac{1}{3} \times 6\) | M1 | oe eg \(6 \div 3 = 2\) followed by \(6 - 2\) \(6 \div 3 = 2\) followed by \(2 \times 2\) |
| 4 | A1 |
Additional guidance
Accept minutes for M1 even if units not given ie \(2 \times 360\) or 720 etc
However, answer in minutes accepted only if units changed to minutes on answer line
| Answer | Mark | Comments |
|---|---|---|
| It takes less (time) | B1 | oe |
Additional guidance
| (It will be) quicker / faster | B1 |
| (It will) now take less than (their answer to part (a)) hours | B1 |
| Time will decrease | B1 |
| It will not take as long | B1 |
| It will not take long | B0 |
| It will now take 2 hours (their answer in (a) was 3 hours) | B0 no comparison |
| The room will be painted at a faster rate | B0 repeats question |
| 3rd person will finish quicker than the other 2 | B0 |