Jessica and Myra just met up in Cedarburg for the afternoon, and now it is time for them to get in their cars and head home. Jessica heads due east at 76 kilometers per hour, and Myra heads due west at 87 kilometers per hour. How long will it be until they are 63 kilometers apart?

Question

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Answer 1

To find out how long it will take until Jessica and Myra are 63 kilometers apart, we can use the information given about their speeds and the fact that they are moving in opposite directions.

1. Calculate their combined speed:

   • Jessica's speed: 76 km/h (heading east)
   • Myra's speed: 87 km/h (heading west)
   • Combined speed = 76 km/h + 87 km/h = 163 km/h

2. Use the formula for distance:

   • Distance = Speed × Time
   • We want to find the time (T) when they are 63 kilometers apart.
   • Therefore, we set up the equation: \[ 63 \text{ km} = 163 \text{ km/h} \cdot T \]

3. Solve for T: \[ T = \frac{63 \text{ km}}{163 \text{ km/h}} \approx 0.3853 \text{ hours} \]

4. Convert hours to minutes:

   • Since 1 hour = 60 minutes, \[ T \approx 0.3853 \text{ hours} \times 60 \text{ minutes/hour} \approx 23.1 \text{ minutes} \]

Thus, it will take approximately 23 minutes until Jessica and Myra are 63 kilometers apart.