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A freight train on the Bluepoint-Vindale line departs Bluepoint, traveling at a speed of 4242 kilometers per hour. At the same time, a second train leaves Vindale, bound for Bluepoint, and is moving at 9797 kilometers per hour. If the train line is 130130 kilometers long, how much time will pass before the two trains meet?\newlineIf necessary, round your answer to the nearest minute.\newline____ hours and ____ minutes

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Q. A freight train on the Bluepoint-Vindale line departs Bluepoint, traveling at a speed of 4242 kilometers per hour. At the same time, a second train leaves Vindale, bound for Bluepoint, and is moving at 9797 kilometers per hour. If the train line is 130130 kilometers long, how much time will pass before the two trains meet?\newlineIf necessary, round your answer to the nearest minute.\newline____ hours and ____ minutes
  1. Calculate Combined Speed: We have:\newlineSpeed of the first train: 4242 kilometers per hour\newlineSpeed of the second train: 9797 kilometers per hour\newlineFind the combined speed of the two trains.\newlineSpeed of the first train + Speed of the second train = Combined speed\newline42+97=13942 + 97 = 139\newlineCombined speed: 139139 kilometers per hour
  2. Find Time Taken: Combined speed: 139139 kilometers per hour\newlineIdentify the time taken by the two trains to cover 130130 kilometers.\newlineRound your answer to the nearest thousandth.\newlineTime =DistanceCombined speed= \frac{\text{Distance}}{\text{Combined speed}}\newline=130139= \frac{130}{139}\newline0.935\approx 0.935 hours
  3. Convert to Hours and Minutes: Time taken: 0.9350.935 hours\newlineIdentify the number of hours and minutes.\newlineRound your answer to the nearest minute.\newlineIn 0.9350.935, the number of hours is 00.\newline0.935×60=56.1560.935 \times 60 = 56.1 \approx 56 minutes\newlineSo, it will be 00 hours and 5656 minutes before the two trains meet.

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