https://file.aiquickdraw.com/mathbot/file/1726619724114hjvheq76.jpg

Let's go through the questions one by one and solve them.

### **Question 1:**
- **a)** 640 km in 8 hours = $ \frac{640}{8} = 80 $ km/h
- **b)** 64 books for $1280 = $ \frac{1280}{64} = 20 $ dollars per book
- **c)** 1600 litres in 5 hours = $ \frac{1600}{5} = 320 $ litres/hour → $ \frac{320}{60} = 5.33 $ litres/min
- **d)** 5 kg of meat cost $39.75 = $ \frac{39.75}{5} = 7.95 $ dollars per kg

---

### **Question 2: Complete the equivalent rates.**
- **a)** $ 60 \text{ km/h} = 1 \text{ km/min} $
- **b)** $ 40 \text{ L/h} = 960 \text{ L/day} $
- **c)** $ 60 \text{ m/min} = 3600 \text{ m/h} $
- **d)** $ 55 \text{ mi/h} = 88 \text{ km/h} $
- **e)** $ 30 \text{ mL/min} = 1.8 \text{ L/h} $
- **f)** $ 36^\circ \text{/min} = 0.6^\circ \text{/sec} $

---

### **Question 3:**
- **a)** Speed = $ \frac{240 \text{ km}}{3 \text{ hours}} = 80 \text{ km/h} $
- **b)** In $ \frac{1}{4} \text{ hour} $, a car traveling at 30 m/s will travel $ 30 \times \frac{1}{4} \times 3600 = 27,000 \text{ metres} = 27 \text{ km} $.
- **c)** The petrol usage rate is 10.8 L/100 km. To calculate for 450 km: $ \frac{450}{100} \times 10.8 = 48.6 \text{ litres} $.

---

### **Question 4:**
- **a)** 150 km/h to km/min = $ \frac{150}{60} = 2.5 \text{ km/min} $
- **b)** 100 km/h to km/s = $ \frac{100}{3600} \approx 0.0278 \text{ km/s} $
- **c)** Andrew delivered 680 bottles in 5 hours (from 4 p.m. to 9 p.m.): $ \frac{680}{5} = 136 \text{ bottles/hour} $

---

### **Question 5:**
- **a)** 900 km in 5 hours 20 minutes = $ 5 \text{ hours } 20 \text{ minutes} = \frac{16}{3} \text{ hours} $, so speed = $ \frac{900}{\frac{16}{3}} = 168.75 \text{ km/h} $
- **b)** A tree grows 16.8 metres in 6.5 years: $ \frac{16.8}{6.5} \approx 2.58 \text{ metres/year} $
- **c)** 148 runs at a rate of 4 runs/over: $ \frac{148}{4} = 37 \text{ overs} $

---

Would you like further clarifications on any part of the solutions or more details?

Here are 5 relative questions based on this content:
1. How can we convert a speed in m/s to km/h?
2. What is the formula for average speed when distance and time are given?
3. How do we convert a rate given in L/min to L/day?
4. If a car uses 10 L/100 km, how much petrol would it use to travel 600 km?
5. How would you convert 72 degrees per minute to degrees per second?

**Tip**: Always ensure the units match before solving any rate or speed-related question to avoid conversion errors.

Math problem involving rates, speeds, and conversions from a worksheet with multiple questions on distance, speed, fuel consumption, and more.

This worksheet involves solving problems related to speed, distance, fuel consumption, and various unit conversions. It covers key math concepts such as rates, unit conversion, and calculating averages, suitable for Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation