To find out how many hours it will take for the two cars to be 300 miles apart, we can add their speeds together because they are moving in opposite directions.
Car 1 speed: 52 mph
Car 2 speed: 58 mph
Total speed = 52 mph + 58 mph = 110 mph
Next, we can use the formula for distance, which is:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
We want to find the time when the distance is 300 miles:
\[ 300 \text{ miles} = 110 \text{ mph} \times \text{Time} \]
Now, we can solve for Time:
\[ \text{Time} = \frac{300 \text{ miles}}{110 \text{ mph}} \approx 2.727 \text{ hours} \]
To convert this into hours and minutes, we can take the decimal part:
0.727 hours × 60 minutes/hour ≈ 43.62 minutes
So, it will take approximately 2 hours and 44 minutes for the two cars to be 300 miles apart.
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