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?

Question

UpStudy AI · Accepted Answer

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!
1. The plane flew at 220 meters per second. 2. The boy takes 5 hours to walk 20 km. 3. The cyclist's speed is 7.5 miles per hour. 4. The person can cover 125 miles in 2.5 hours. 5. The train's speed is 320 miles per hour.

Real Tutor Solution

Answer

Solution

The Deep Dive

Related Questions

Latest Arithmetic Questions