Pregunta
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6. An athlete runs at a speed of 100 metres in 15 seconds. How long will it take him to run 160 metres at the same speed? 7. A worker in a pottery factory paints 6 mugs in one hour. How many mugs will she paint in one 8 hour workday? 8. John is laying tiles at a rate of \( 3 \mathrm{~m}^{2} \) per hour. How long will it take him to tile a room of \( 18 \mathrm{~m}^{2} \) ? 9. How far can you travel in 5,5 hours at a speed of \( 115 \mathrm{~km} / \mathrm{h} \) ? 10. Mercia is a typist and gets R9,50 for every page that she types. How many pages must she type to get R380? 11. The exchange rate is R8,98 per U\$. You have R50 000 that you want to convert to US\$. How many U\$ will you get? 12. Esther earned R1 750 for 12 days' work. Determine how much she would earn if she worked for 15 days.

Ask by Wade Bird. in South Africa
Mar 10,2025

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1. It takes 24 seconds to run 160 meters. 2. She will paint 48 mugs in an 8-hour workday. 3. It will take 6 hours to tile the room. 4. You can travel 632.5 kilometers in 5.5 hours. 5. She needs to type 40 pages to earn R380. 6. You will get approximately 5568 US\$. 7. She would earn R2187.50 for 15 days.

Solución

1. The athlete’s speed is \[ \text{Speed} = \frac{100\, \text{m}}{15\, \text{s}}. \] The time to run 160 metres is \[ \text{Time} = \frac{160\, \text{m}}{100/15\, \text{m/s}} = 160 \times \frac{15}{100} = 24\, \text{s}. \] 2. The worker paints 6 mugs in 1 hour. In an 8-hour workday, she paints \[ 6 \times 8 = 48 \text{ mugs}. \] 3. John’s tiling rate is \[ 3\, \text{m}^2/\text{hour}. \] The time needed to tile an \(18\, \text{m}^2\) room is \[ \frac{18\, \text{m}^2}{3\, \text{m}^2/\text{hour}} = 6\, \text{hours}. \] 4. Traveling at \(115\, \text{km/h}\) for 5.5 hours, the distance traveled is \[ 115 \times 5.5 = 632.5\, \text{km}. \] 5. Mercia earns R9.50 per page. To earn R380, the number of pages needed is \[ \frac{380}{9.50} = 40 \text{ pages}. \] 6. With an exchange rate of R8.98 per US\$, converting R50\,000 yields \[ \frac{50\,000}{8.98} \approx 5567.93\, \text{US\$}. \] (Approximately 5568 US\$ if rounded to the nearest dollar.) 7. Esther earned R1750 for 12 days. Her daily earning is \[ \frac{1750}{12}\, \text{R/day}. \] For 15 days, she would earn \[ \frac{1750}{12} \times 15 = 1750 \times \frac{15}{12} = 1750 \times \frac{5}{4} = 2187.50\, \text{R}. \]

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Bonus Knowledge

Running at a brisk speed is not just about stamina; it’s also about pacing and knowing your limits! The fundamentals of speed and distance have been essential for athletes throughout history. For instance, the introduction of the stopwatch in the 19th century revolutionized how races were timed, ensuring even the smallest increments of performance gain could be measured, igniting a competitive spirit that persists to this day. When it comes to practical applications, these types of calculations are relevant in many areas, such as logistics, project management, and even during your morning jog! Being able to determine time, distance, or output allows individuals to make informed decisions — whether that's planning a route, managing workload in business, or simply setting realistic running goals. It’s all about making those numbers work for you!

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