Tom took a trip of 1020 miles He traveled by train at 55mph

Tom took a trip of 1,020 miles. He traveled by train at 55mph and the same number of hours by plane at 285mph. How many hours did the trip take?
I tried T=d/r 1020/55=18.545 1020/285=5.18 18.545+5.18=23.73

Solution

train time = plane time
x/55 = (1020-x)/285
Cross-multiply to get:
285x = 55(1020-x)
285x = 55*1020 - 55x
340x = 55*1020
x = 165 miles
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train time = 165/55 = 3 hrs
plane time = (1020-165)/285 = 3 hrs
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Total time = 6 hrs.