Subject 4. Some tourists set off from a cabin at 8 o'clock in the morning and walk at a speed of $6 \mathrm{~km} / \mathrm{h}$. At 12 o'clock on the same day, a courier is sent after them with a telegram. The courier travels at a speed of 14 km/h. After how much time and at what distance from the cabin will the courier catch up with the group of tourists?

## MATHEMATICS OLYMPIAD  LOCAL STAGE  JANUARY 30, 2016  GRADE 5  Scoring Guide
## Subject 4.

| Tourists walk for 4 hours until the courier's departure, covering a distance of $24 \mathrm{~km}$ | $\mathbf{2 p}$ |
| :--- | :--- | :--- |
| The courier approaches the tourists by a distance of $8 \mathrm{~km}$ each hour. | $\mathbf{2 p}$ |
| In 3 hours, the courier recovers the distance between him and the tourists, so he will catch up to them from behind. | $\mathbf{2 p}$ |
| Traveling at a speed of $14 \mathrm{~km} / \mathrm{h}$ for 3 hours, the courier covers $42 \mathrm{~km}$ (or $6 \mathrm{~km} / \mathrm{h} \cdot 7 \mathrm{~h}$ | $\mathbf{1 p}$ |