Questions: A plane can fly 3952 kilometers in 3 hours. If the plane flies in cloudy skies, it can fly 184 less kilometers than usual within the same time. What is the speed for the plane flies in cloudy skies? km / h

A plane can fly 3952 kilometers in 3 hours. If the plane flies in cloudy skies, it can fly 184 less kilometers than usual within the same time. What is the speed for the plane flies in cloudy skies? km / h
Transcript text: A plane can fly 3952 kilometers in 3 hours. If the plane flies in cloudy skies, it can fly 184 less kilometers than usual within the same time. What is the speed for the plane flies in cloudy skies? $\mathrm{km} / \mathrm{h}$
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Solution

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Solution Steps

Step 1: Calculate Usual Speed

The usual speed of the plane can be calculated using the formula: \[ \text{Usual Speed} = \frac{\text{Usual Distance}}{\text{Time}} = \frac{3952 \text{ km}}{3 \text{ h}} = 1317.\overline{3} \text{ km/h} \]

Step 2: Calculate Distance in Cloudy Skies

The distance the plane can fly in cloudy skies is given by: \[ \text{Cloudy Distance} = \text{Usual Distance} - \text{Distance Reduction} = 3952 \text{ km} - 184 \text{ km} = 3768 \text{ km} \]

Step 3: Calculate Speed in Cloudy Skies

The speed of the plane in cloudy skies can be calculated as: \[ \text{Cloudy Speed} = \frac{\text{Cloudy Distance}}{\text{Time}} = \frac{3768 \text{ km}}{3 \text{ h}} = 1256 \text{ km/h} \]

Final Answer

\(\boxed{1256 \text{ km/h}}\)

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