the bus and train left the same town and headed south at 8 a.m. at noon, the bus was 100 miles behind the train. how far did each one travel if the speed of the train was twice the speed of the bus? the bus and train left the same town and headed south at 8 a.m. at noon, the bus was 100 miles behind the train. how far did each one travel if the speed of the train was twice the speed of the bus? @Mathematics

Question

anonymous · Answer

r t = d
Let r be the speed of the bus.  The speed of the train is 2r from the problem statement.
Solve the following for r and d:
{ r* 4 = d,  (2*r) 4 = d + 100 }
r = 25 mph and d = 100 miles
  Bus:   25+4 = 100 miles
train: 2*25*4 = 200 miles