Pregunta
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Shawn's engineering dub is taking a trip by bus to a robotics fair. The fair is 175 miles from Shawn's school. The bus driver plans to stop and refuel after 2 hours, then complete the trip. The bus driver plans to drive at an average speed of 50 miles per hour. How many hours will the second part of the trip take? Write your answer as a whole number or a decimal. Submit

Ask by Pollard Ingram. in the United States
Dec 03,2024

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The second part of the trip will take 1.5 hours.

Solución

To determine how many hours the second part of the trip will take, we first need to calculate how far the bus travels in the first 2 hours. 1. **Calculate the distance traveled in the first 2 hours:** \[ \text{Distance} = \text{Speed} \times \text{Time} = 50 \text{ miles/hour} \times 2 \text{ hours} = 100 \text{ miles} \] 2. **Calculate the remaining distance to the fair:** \[ \text{Remaining Distance} = \text{Total Distance} - \text{Distance Traveled} = 175 \text{ miles} - 100 \text{ miles} = 75 \text{ miles} \] 3. **Calculate the time required to travel the remaining distance at the same speed:** \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{75 \text{ miles}}{50 \text{ miles/hour}} = 1.5 \text{ hours} \] Therefore, the second part of the trip will take **1.5 hours**.

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The bus driver will travel for 2 hours at a speed of 50 miles per hour, covering 100 miles during that time (2 hours × 50 miles/hour = 100 miles). Since the total distance to the fair is 175 miles, the remaining distance after the first part of the trip is 75 miles (175 miles - 100 miles = 75 miles). Now, to find how long it will take to drive the remaining 75 miles at the same speed, we can use the formula: time = distance ÷ speed. Therefore, time = 75 miles ÷ 50 miles/hour = 1.5 hours. So, the second part of the trip will take 1.5 hours.

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