wo buses depart from the Yardley Bus Terminal. One is moving north at 41 kilometers per hour, while the other is moving south at 27 kilometers per hour. How long will it be before the buses are 65 kilometers apart?

Question

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Answer 1

To determine how long it will take for the two buses to be 65 kilometers apart, you can add their speeds together since they are moving in opposite directions.

1. Speed of the bus moving north: 41 kilometers per hour
2. Speed of the bus moving south: 27 kilometers per hour

Now, add the two speeds together:

\[ \text{Relative speed} = 41 \text{ km/h} + 27 \text{ km/h} = 68 \text{ km/h} \]

Next, to find the time it takes for the buses to be 65 kilometers apart, you can use the formula:

\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

Here, the distance is 65 kilometers and the relative speed is 68 kilometers per hour:

\[ \text{Time} = \frac{65 \text{ km}}{68 \text{ km/h}} \approx 0.9559 \text{ hours} \]

To convert this time into minutes, multiply by 60:

\[ 0.9559 \text{ hours} \times 60 \text{ minutes/hour} \approx 57.35 \text{ minutes} \]

Rounding to the nearest minute gives approximately 57 minutes.

Therefore, it will take approximately 57 minutes for the buses to be 65 kilometers apart.