Activity 2: Calculating Speed Directions: Solve the following problems using GRESA method. 1. At what speed did a plane fly if it traveled 1760 meters in 8 seconds? 2. A boy walks at a speed of \( 4 \mathrm{~km} / \mathrm{hr} \). How much time does he take to walk a distance of 20 ky 3. A cyclist covers a distance of 15 miles in 2 hrs. Calculate his speed. 4. If a person drives his car in the speed of 50 miles \( / \mathrm{hr} \), how far can he cover in 2.5 hours? 5. The train travelled 800 miles in 2.5 hrs . What is its speed?

Sure! Let's solve each of these problems using the **GRESA** method, which stands for: 1. **G**oal: What you need to find. 2. **R**elevant information: What is given. 3. **E**quip: The formula or method to use. 4. **S**olve: Perform the calculations. 5. **A**nswer: The final result. --- ### **Problem 1** **At what speed did a plane fly if it traveled 1760 meters in 8 seconds?** 1. **Goal:** Find the speed of the plane. 2. **Given:** - Distance = 1760 meters - Time = 8 seconds 3. **Equip (Formula):** \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \] 4. **Solve:** \[ \text{Speed} = \frac{1760 \, \text{meters}}{8 \, \text{seconds}} = 220 \, \text{meters/second} \] 5. **Answer:** The plane flew at a speed of **220 meters per second**. --- ### **Problem 2** **A boy walks at a speed of \( 4 \, \text{km/hr} \). How much time does he take to walk a distance of 20 km?** 1. **Goal:** Determine the time taken to walk 20 km. 2. **Given:** - Speed = 4 km/hr - Distance = 20 km 3. **Equip (Formula):** \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \] 4. **Solve:** \[ \text{Time} = \frac{20 \, \text{km}}{4 \, \text{km/hr}} = 5 \, \text{hours} \] 5. **Answer:** The boy takes **5 hours** to walk 20 kilometers. --- ### **Problem 3** **A cyclist covers a distance of 15 miles in 2 hours. Calculate his speed.** 1. **Goal:** Find the cyclist's speed. 2. **Given:** - Distance = 15 miles - Time = 2 hours 3. **Equip (Formula):** \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \] 4. **Solve:** \[ \text{Speed} = \frac{15 \, \text{miles}}{2 \, \text{hours}} = 7.5 \, \text{miles/hour} \] 5. **Answer:** The cyclist's speed is **7.5 miles per hour**. --- ### **Problem 4** **If a person drives his car at the speed of 50 miles/hr, how far can he cover in 2.5 hours?** 1. **Goal:** Calculate the distance covered. 2. **Given:** - Speed = 50 miles/hr - Time = 2.5 hours 3. **Equip (Formula):** \[ \text{Distance} = \text{Speed} \times \text{Time} \] 4. **Solve:** \[ \text{Distance} = 50 \, \text{miles/hr} \times 2.5 \, \text{hours} = 125 \, \text{miles} \] 5. **Answer:** The person can cover **125 miles** in 2.5 hours. --- ### **Problem 5** **The train traveled 800 miles in 2.5 hours. What is its speed?** 1. **Goal:** Determine the train's speed. 2. **Given:** - Distance = 800 miles - Time = 2.5 hours 3. **Equip (Formula):** \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \] 4. **Solve:** \[ \text{Speed} = \frac{800 \, \text{miles}}{2.5 \, \text{hours}} = 320 \, \text{miles/hour} \] 5. **Answer:** The train's speed is **320 miles per hour**. --- Feel free to reach out if you have any more questions or need further assistance!