Train 1 leaves the west at 80 miles per hour, train 2 leaves 4 hours later at 68 miles per hour frome the east. if the two cities are 1121 miles apart, how many miles from train 1's station do the 2 trains pass?

752.8 miles

Step-by-step explanation:

First we need to calculate the time it takes for them to meet

we add the speeds multiplied by the time (substracting the 4 hours difference for the second train) and it would equal the total distance

80 mi/h× T + 68 mi/h× ( T-4h) = 1121 mi

80 mi/h × T + 68 mi/h× T - 68 mi/h × 4 mi  = 1121 mi

148 mi/h T = 1121 mi + 272 mi

T =  1393 mi / 148 mi / h = 9.41 h

then we just multiply the speed of the first train times the number of hours and it gives us the distance it traveled

9.41 h * 80 mi / h = 752.8 mi

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