An eastbound train left at 12pm. Four hours later, a westbound train left the same station. At 8pm, the two trains were 400 miles apart. Find the rate of each train if the westbound train traveled 10 miles per hour faster than the eastbound train.
Eastward with head start) = 8 hrs * x m/hr
Westward = 4 hrs * (x+10) m/hr summed = 400
8x + 4x+40 = 400
x = 30 m/hr the westbound is traveling at 40 m/hr
This question was also posted here, with a very reasonable explanation. https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.770190.html