SOLUTION: The bus headed north at 40 mph at 10 a.m. At noon the Orange Blossom Special headed south from the dame station at 70 mph. What time was it when the train and the bus were 960 mile

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Question 168113This question is from textbook Algebra II
: The bus headed north at 40 mph at 10 a.m. At noon the Orange Blossom Special headed south from the dame station at 70 mph. What time was it when the train and the bus were 960 miles apart? This question is from textbook Algebra II

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
distance equals rate * time
40(t+2)=x
70t=960-x ......where t is time traveled by the train and t+2 is the time traveled by the bus, and x is the distance traveled
:
add 2 equations together to eliminate the x terms
:
111t=880---->highlight%28t=8%29 hours after start of train headed south(which was at 12PM) or you could say 8+2=10 hours from when the bus headed north which also produces 8PM.
:
so at 8PM they would have been 960 miles apart.