Question 647172
A train leaves NYC for Washington DC traveling at 90 mph.
 At the SAME TIME, a train leaves Washington DC for NYC traveling at 95 mph.
 If NYC and Washington DC are 462.5 miles apart, how long will it take
 before the two trains meet?
:
let t = traveling time in hr until they meet
:
When they meet the sum of the two trains traveling distances will equal 462.5
Write a distance equation; dist = speed * time
:
90t + 95t = 462.5 
add like terms
185t = 462.5
divide both sides by 185
t = {{{462.5/185}}}
t = 2.5 hrs for them to meet
:
:
You can check this by finding the actual distance each train traveled
2.5(90) = 225 mi
2.5(95) = 237.5 mi
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total dist: 462.5, the dist from N.Y to D.C.