Pregunta
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\( { }^{*} \) Look at the rate in \( \mathrm{km} / \mathrm{h} \). Hours and minutes must be conve \[ \text { Speed }=80 \mathrm{~km} / \mathrm{h} \] Distance \( = \) ?? \[ \text { Time }=3 \text { hours } 15 \mathrm{~min} \longrightarrow 195 \text { minutes } \longrightarrow 3,25 \text { ure } \] \[ \text { Distance }=\text { Speed } \times \text { time } \] \[ =80 \mathrm{~km} / \mathrm{h} \times 3,25 \text { hours } \] ... appropriate formule \[ =260 \mathrm{~km} \] ... substitution (look at the conversion o ... answer in km* Part 2: What is the constant speed that the car needs to drive to cover 2 hours 40 min .

Ask by Wheeler Salinas. in South Africa
Feb 03,2025

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To cover 260 km in 2 hours and 40 minutes, the car needs to drive at approximately 97.5 km/h.

Solución

Sure, let's work through **Part 2** of your problem step by step. ### **Part 2: Determining the Required Constant Speed** **Given:** - **Distance (D)** = 260 km (from Part 1) - **Time (T)** = 2 hours 40 minutes **Objective:** Find the constant speed (\( V \)) required to cover 260 km in 2 hours 40 minutes. #### **Step 1: Convert Time to Hours** First, convert the time from hours and minutes to a decimal format in hours. \[ \text{Time} = 2 \text{ hours } 40 \text{ minutes} = 2 + \frac{40}{60} = 2 + \frac{2}{3} \approx 2.6667 \text{ hours} \] #### **Step 2: Use the Speed Formula** The basic formula to calculate speed is: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \] Plugging in the known values: \[ V = \frac{260 \text{ km}}{2.6667 \text{ hours}} \] #### **Step 3: Perform the Calculation** \[ V \approx \frac{260 \text{ km}}{2.6667 \text{ hours}} \approx 97.5 \text{ km/h} \] #### **Conclusion** To cover a distance of **260 km** in **2 hours and 40 minutes**, the car must maintain a **constant speed of approximately 97.5 km/h**. \[ \boxed{V \approx 97.5 \ \mathrm{km/h}} \]

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The Deep Dive

To cover the distance of 260 km in 2 hours and 40 minutes, you first need to convert the time into hours. That would be 2 hours plus 40 minutes, which is \(2 + \frac{40}{60} = 2.67\) hours. Now, use the formula for speed, which is Speed = Distance / Time. So, plug in your values: \[ \text{Speed} = \frac{260 \text{ km}}{2.67 \text{ hours}} \approx 97.26 \text{ km/h}. \] There you go! If you round it off, your car needs to maintain a speed of about 97 km/h to cover that distance. If you're planning a long road trip, it’s super helpful to plan out your speed limits ahead of time. Make adjustments to your route if you need to take breaks or anticipate traffic delays. By doing so, you ensure you arrive safely and on time, plus you'll have a much more enjoyable journey!

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