SOLUTION: [A freight train leaves town at 40 mph. A second train leaves town 3 hours later at 56 mph. How many hours after the first train leaves will the second overtake the first train?]

Question 923904: [A freight train leaves town at 40 mph. A second train leaves town 3 hours later at 56 mph. How many hours after the first train leaves will the second overtake the first train?]
Found 2 solutions by rfer, TimothyLamb:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
Train A has a 120 mile lead.
Overtake speed is 16mph
120/16=7.5 hrs

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
s = d/t
d = st
t = d/s
---
distance between trains when 2nd train leaves station:
d = st
d = 40*3
d = 120 miles
---
speed of 2nd train relative to 1st train:
s = 56 - 40
s = 16 mph
---
time for trains to meet:
t = d/s
t = 120/16
---
answer:
t = 7.5 hours
---
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