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Question

A northbound train and a southbound train meet each other on parallel tracks heading in opposite directions. The northbound train travels 16 miles per hour faster than the southbound train. After 2 hours, they are 240 miles apart. At what speeds are the two trains traveling?

Answer 1

in 2 hours 240 miles apart

in 1 hour 120 miles apart

one train 16 mph faster than the other

trains ran at x mph and x+16 mph

x+x+16 = 120

2x = 120-16 = 104

x = 52

x+16 = 68

northbound train ran at 68 mph

southbound train ran at 52 mph

in 2 hours they were 2(68+52) = 2(120) = 240 miles apart