3. If a washing machine spins will it complete in one second? revolutions will a sports car shows that the car's top speed is $$ 370 \mathrm{~km} / \mathrm{h} $$. What 4. The speedometer of a is this speed in $$ \mathrm{m} / \mathrm{s} $$ ? 5. The top speed of a 747 Jumbo Jet is $$ 245 \mathrm{~m} / \mathrm{s} $$. Convert this speed to $$ \mathrm{km} / \mathrm{h} $$. 6. The Argus Cycle Tour is a circular cycle race starting in the Cape Town city centre going around the Cape Peninsula and back to the city, ending at Cape Town Stadium. This race can vary from 104 km to 110 km In length, depending on the necessary detours at the time of the race. In 2008 , the length of the race was 109 km, and Robbie Hunter completed the race in a record time of $$ 2: 27: 29 $$. In 2007 , Anke Erlank-Moore set a ladies record of $$ 2: 48: 29 $$, also over a distance of 109 km. The oldest person to complete the race is Japle Malan, who was 90 years old when he completed the race In a time of $$ 6: 48: 52 $$ in 2010 . a) What was Robbie's average speed for this race in km/min? b) Convert the average speed obtained in a) to km/h. c) Convert the ladies record to a rate of km/min. d) What was the average speed of the oldest person to complete the Argus Cycle Tour in 2010 ? Give your answer in lm/h. Sizwe drives from Durban to Polokwane -a distance of 745 km . If the journey takes him 7 hours and 20 minutes, what is his average speed in km/h?

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UpStudy AI · Accepted Answer

Certainly! Let's address each of your questions step-by-step.

---

### **4. Convert 370 km/h to meters per second (m/s)**

**Given:**
- Speed = 370 km/h

**Conversion Formula:**
$$
\text{Speed in m/s} = \frac{\text{Speed in km/h}}{3.6}
$$

**Calculation:**
$$
\frac{370 \, \text{km/h}}{3.6} \approx 102.78 \, \text{m/s}
$$

**Answer:**  
370 km/h is approximately **102.78 m/s**.

---

### **5. Convert 245 m/s to kilometers per hour (km/h)**

**Given:**
- Speed = 245 m/s

**Conversion Formula:**
$$
\text{Speed in km/h} = \text{Speed in m/s} \times 3.6
$$

**Calculation:**
$$
245 \, \text{m/s} \times 3.6 = 882 \, \text{km/h}
$$

**Answer:**  
245 m/s is equal to **882 km/h**.

---

### **6. Argus Cycle Tour Calculations**

**Given:**
- **Distance:** 109 km
- **Robbie Hunter's Time:** 2 hours, 27 minutes, 29 seconds
- **Anke Erlank-Moore's Time:** 2 hours, 48 minutes, 29 seconds
- **Japle Malan's Time:** 6 hours, 48 minutes, 52 seconds

Let's address each sub-question:

#### **a) Robbie's Average Speed in km/min**

**Convert Time to Minutes:**
$$
2 \, \text{hours} = 2 \times 60 = 120 \, \text{minutes}
$$
$$
27 \, \text{minutes} = 27 \, \text{minutes}
$$
$$
29 \, \text{seconds} = \frac{29}{60} \approx 0.483 \, \text{minutes}
$$
$$
\text{Total Time} = 120 + 27 + 0.483 \approx 147.483 \, \text{minutes}
$$

**Calculate Average Speed:**
$$
\text{Average Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{109 \, \text{km}}{147.483 \, \text{min}} \approx 0.739 \, \text{km/min}
$$

**Answer:**  
Robbie's average speed was approximately **0.739 km/min**.

---

#### **b) Convert Robbie's Average Speed to km/h**

**Conversion Formula:**
$$
\text{Speed in km/h} = \text{Speed in km/min} \times 60
$$

**Calculation:**
$$
0.739 \, \text{km/min} \times 60 = 44.34 \, \text{km/h}
$$

**Answer:**  
Robbie's average speed was approximately **44.34 km/h**.

---

#### **c) Convert Anke Erlank-Moore's Record to km/min**

**Convert Time to Minutes:**
$$
2 \, \text{hours} = 2 \times 60 = 120 \, \text{minutes}
$$
$$
48 \, \text{minutes} = 48 \, \text{minutes}
$$
$$
29 \, \text{seconds} = \frac{29}{60} \approx 0.483 \, \text{minutes}
$$
$$
\text{Total Time} = 120 + 48 + 0.483 \approx 168.483 \, \text{minutes}
$$

**Calculate Average Speed:**
$$
\text{Average Speed} = \frac{109 \, \text{km}}{168.483 \, \text{min}} \approx 0.647 \, \text{km/min}
$$

**Answer:**  
Anke Erlank-Moore's average speed was approximately **0.647 km/min**.

---

#### **d) Average Speed of Japle Malan in 2010 (km/h)**

**Convert Time to Hours:**
$$
6 \, \text{hours} = 6 \, \text{hours}
$$
$$
48 \, \text{minutes} = \frac{48}{60} = 0.8 \, \text{hours}
$$
$$
52 \, \text{seconds} = \frac{52}{3600} \approx 0.0144 \, \text{hours}
$$
$$
\text{Total Time} = 6 + 0.8 + 0.0144 \approx 6.8144 \, \text{hours}
$$

**Calculate Average Speed:**
$$
\text{Average Speed} = \frac{109 \, \text{km}}{6.8144 \, \text{hours}} \approx 16.0 \, \text{km/h}
$$

**Answer:**  
Japle Malan's average speed was approximately **16.0 km/h**.

---

### **7. Sizwe's Average Speed from Durban to Polokwane**

**Given:**
- **Distance:** 745 km
- **Time:** 7 hours and 20 minutes

**Convert Time to Hours:**
$$
7 \, \text{hours} = 7 \, \text{hours}
$$
$$
20 \, \text{minutes} = \frac{20}{60} = 0.333 \, \text{hours}
$$
$$
\text{Total Time} = 7 + 0.333 \approx 7.333 \, \text{hours}
$$

**Calculate Average Speed:**
$$
\text{Average Speed} = \frac{745 \, \text{km}}{7.333 \, \text{hours}} \approx 101.54 \, \text{km/h}
$$

**Answer:**  
Sizwe's average speed was approximately **101.54 km/h**.

---

Feel free to ask if you need further clarification on any of these problems!
**4.** 370 km/h is approximately **102.78 m/s**. **5.** 245 m/s is equal to **882 km/h**. **6. a)** Robbie's average speed was approximately **0.739 km/min**. **6. b)** Robbie's average speed was approximately **44.34 km/h**. **6. c)** Anke Erlank-Moore's average speed was approximately **0.647 km/min**. **6. d)** Japle Malan's average speed was approximately **16.0 km/h**. **7.** Sizwe's average speed was approximately **101.54 km/h**.

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