Two freight trains leave the station in Lexington at the same time. The first train is headed due south at a speed of 22 miles per hour. In comparison, the second train is going due north at 35 miles per hour. In how long will the trains be 380 miles apart? If necessary, round your answer to the nearest minute. ____ hours and ____ minutes

Question

Two freight trains leave the station in Lexington at the same time. The first train is headed due south at a speed of 22 miles per hour. In comparison, the second train is going due north at 35 miles per hour. In how long will the trains be 380 miles apart? If necessary, round your answer to the nearest minute.   ____ hours and ____ minutes

Bytelearn · Accepted Answer

Find Combined Speed: We need to find the combined speed of the two trains moving in opposite directions. Speed of first train: 22 miles per hour Speed of second train: 35 miles per hour Combined speed = Speed of first train + Speed of second train Combined speed = 22 + 35 Combined speed = 57 miles per hourCalculate Time: Now, we need to calculate the time it takes for the trains to be 380 miles apart using their combined speed. Time = Distance / Speed Time = 380 miles / 57 miles per hour Time ≈ 6.6667 hoursSeparate Hours and Minutes: To find the time in hours and minutes, we need to separate the decimal part from the whole number. The whole number is 6 hours. To find the minutes, we multiply the decimal part by 60. Minutes = 0.6667 * 60 Minutes ≈ 40 minutesFinal Result: Therefore, the trains will be 380 miles apart in 6 hours and 40 minutes.

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