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Brett took the train due south from the airport, heading to the end of the line. At the same time, Maddie also left home and started driving due north to the end of the line, where she would pick Brett up. Brett's train traveled 6666 kilometers per hour, and Maddie drove 8282 kilometers per hour. They started out 4444 kilometers apart and arrived at the station at the same time. How long did it take them to meet?\newlineIf necessary, round your answer to the nearest minute.\newline____ hours and ____ minutes\newline

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Q. Brett took the train due south from the airport, heading to the end of the line. At the same time, Maddie also left home and started driving due north to the end of the line, where she would pick Brett up. Brett's train traveled 6666 kilometers per hour, and Maddie drove 8282 kilometers per hour. They started out 4444 kilometers apart and arrived at the station at the same time. How long did it take them to meet?\newlineIf necessary, round your answer to the nearest minute.\newline____ hours and ____ minutes\newline
  1. Given Information: We have:\newlineSpeed of Brett's train: 6666 kilometers per hour\newlineSpeed of Maddie's car: 8282 kilometers per hour\newlineDistance apart: 4444 kilometers\newlineFind the combined speed of Brett's train and Maddie's car.\newlineSpeed of Brett's train + Speed of Maddie's car = Combined speed\newline66+82=14866 + 82 = 148\newlineCombined speed: 148148 kilometers per hour
  2. Calculate Combined Speed: With the combined speed, calculate the time taken for Brett and Maddie to cover the 4444 kilometers.\newlineTime =DistanceCombined speed= \frac{\text{Distance}}{\text{Combined speed}}\newlineTime =44148= \frac{44}{148}\newlineTime =0.297297297= 0.297297297\ldots hours
  3. Calculate Time Taken: Convert the time from hours to minutes.\newline0.2972972970.297297297\ldots hours ×60\times 60 minutes/hour 17.8378378\approx 17.8378378\ldots minutes\newlineRound to the nearest minute.\newlineApproximate time 18\approx 18 minutes
  4. Convert to Minutes: Since the time is less than an hour, the number of hours is 00. So, it will be 00 hours and 1818 minutes before Brett and Maddie meet.

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