Question

Two cars leave from the same point traveling in opposite directions. If one travels at a constant speed of 52 mph and the other travels at constant speed of 58 mph and how many hours will they be 300 miles apart

Answer 1

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.