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Running at a constant speed, an antelope...

Running at a constant speed, an antelope travelled 150 miles in 6 hours. At this rate, how many miles did the antelope travel in 5 hours?

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To solve the problem step by step, we will follow these calculations: ### Step 1: Find the speed of the antelope. We know that speed is calculated using the formula: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \] Given that the antelope traveled 150 miles in 6 hours, we can substitute these values into the formula: \[ \text{Speed} = \frac{150 \text{ miles}}{6 \text{ hours}} = 25 \text{ miles per hour} \] ### Step 2: Calculate the distance traveled in 5 hours. Now that we know the speed of the antelope is 25 miles per hour, we can find out how far it travels in 5 hours using the formula: \[ \text{Distance} = \text{Speed} \times \text{Time} \] Substituting the speed and time into the formula: \[ \text{Distance} = 25 \text{ miles per hour} \times 5 \text{ hours} = 125 \text{ miles} \] ### Conclusion: Thus, the antelope traveled **125 miles** in 5 hours. ---
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