Two freight trains leave the station in Allenville at the same time. The first train is headed due south at a speed of 43 kilometers per hour. In comparison, the second train is going due north at 64 kilometers per hour. In how long will the trains be 450 kilometers apart?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Q. Two freight trains leave the station in Allenville at the same time. The first train is headed due south at a speed of 43 kilometers per hour. In comparison, the second train is going due north at 64 kilometers per hour. In how long will the trains be 450 kilometers apart?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Calculate Combined Speed: Calculate the combined speed of the two trains moving in opposite directions.Speed of first train: 43 kilometers per hourSpeed of second train: 64 kilometers per hourCombined speed = Speed of first train + Speed of second trainCombined speed = 43+64Combined speed = 107 kilometers per hour
Calculate Time Apart: Calculate the time it takes for the trains to be 450 kilometers apart using the combined speed.Distance to be apart = 450 kilometersCombined speed = 107 kilometers per hourTime = Distance / SpeedTime = 450/107Time ≈4.2056074766 hours
Convert Decimal to Minutes: Convert the decimal part of the hours into minutes.Decimal part of hours ≈0.2056074766Minutes = Decimal part of hours ×60Minutes ≈0.2056074766×60Minutes ≈12.3364486Round to the nearest minute: 12 minutes
Combine Hours and Minutes: Combine the whole number of hours and the rounded minutes to get the final answer.Hours = 4Minutes = 12So, it will take approximately 4 hours and 12 minutes for the two trains to be 450 kilometers apart.