2. Solve the following. Show all calculations. a. In quiumn. 120 leaves lell from a tree ovel o period of 4 hour. How mony leaves fell in one hour of the same tale? b. Peter crove a total of 1000 km and used 100 litres of peirol. Colculate the rate at which the petrol war used in kilometres per iltre? c. $$ Z $$ aheeda scored 9 goals in 5 netball matches. At this rote about how many gools will she score in 10 games? d. When Richard was climbing up the mountain, he ascended 120 metres every hour. How mony metres whil he acend in 4 hours ot the same rate?

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Let's solve each problem step by step, showing all calculations.

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### **Problem 2a**

**In a certain time, 120 leaves fell from a tree over a period of 4 hours. How many leaves fell in one hour at the same rate?**

**Solution:**

To find the number of leaves that fell in one hour, we can use the concept of **rate**.

1. **Total leaves fallen:** 120 leaves
2. **Total time:** 4 hours

**Rate of leaves falling per hour:**

$$
\text{Leaves per hour} = \frac{\text{Total leaves}}{\text{Total time}} = \frac{120 \text{ leaves}}{4 \text{ hours}} = 30 \text{ leaves/hour}
$$

**Answer:** 30 leaves fell per hour.

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### **Problem 2b**

**Peter drove a total of 1000 km and used 100 litres of petrol. Calculate the rate at which the petrol was used in kilometres per litre.**

**Solution:**

To find the **fuel efficiency** (kilometres per litre), use the formula:

$$
\text{Fuel Efficiency} = \frac{\text{Total Distance}}{\text{Total Petrol Used}} = \frac{1000 \text{ km}}{100 \text{ litres}} = 10 \text{ km/litre}
$$

**Answer:** The petrol was used at a rate of 10 kilometres per litre.

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### **Problem 2c**

**Z Aheeda scored 9 goals in 5 netball matches. At this rate, about how many goals will she score in 10 games?**

**Solution:**

First, determine the **rate of goals per game**.

1. **Total goals scored:** 9 goals
2. **Total matches played:** 5 matches

**Goals per game:**

$$
\text{Goals per game} = \frac{9 \text{ goals}}{5 \text{ matches}} = 1.8 \text{ goals/match}
$$

To find out how many goals she will score in 10 games:

$$
\text{Total goals in 10 games} = 1.8 \text{ goals/match} \times 10 \text{ matches} = 18 \text{ goals}
$$

**Answer:** She is expected to score **18 goals** in 10 games.

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### **Problem 2d**

**When Richard was climbing up the mountain, he ascended 120 metres every hour. How many metres will he ascend in 4 hours at the same rate?**

**Solution:**

To find the **total metres ascended**, multiply the rate by the time.

1. **Rate of ascent:** 120 metres/hour
2. **Time spent climbing:** 4 hours

$$
\text{Total metres ascended} = 120 \text{ metres/hour} \times 4 \text{ hours} = 480 \text{ metres}
$$

**Answer:** Richard will ascend **480 metres** in 4 hours.

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**Solutions:** a. **30 leaves fell per hour.** b. **10 kilometres per litre.** c. **18 goals in 10 games.** d. **480 metres in 4 hours.**

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