A freight train on the Bluepoint-Vindale line departs Bluepoint, traveling at a speed of 42 kilometers per hour. At the same time, a second train leaves Vindale, bound for Bluepoint, and is moving at 97 kilometers per hour. If the train line is 130 kilometers long, how much time will pass before the two trains meet?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Q. A freight train on the Bluepoint-Vindale line departs Bluepoint, traveling at a speed of 42 kilometers per hour. At the same time, a second train leaves Vindale, bound for Bluepoint, and is moving at 97 kilometers per hour. If the train line is 130 kilometers long, how much time will pass before the two trains meet?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Calculate Combined Speed: We have:Speed of the first train: 42 kilometers per hourSpeed of the second train: 97 kilometers per hourFind the combined speed of the two trains.Speed of the first train + Speed of the second train = Combined speed42+97=139Combined speed: 139 kilometers per hour
Find Time Taken: Combined speed: 139 kilometers per hourIdentify the time taken by the two trains to cover 130 kilometers.Round your answer to the nearest thousandth.Time =Combined speedDistance=139130≈0.935 hours
Convert to Hours and Minutes: Time taken: 0.935 hoursIdentify the number of hours and minutes.Round your answer to the nearest minute.In 0.935, the number of hours is 0.0.935×60=56.1≈56 minutesSo, it will be 0 hours and 56 minutes before the two trains meet.