SOLUTION: distance between pensacola and fort lauderdale is 792miles. Train A leaves at 6AM traveling 42MPH. Train B leaves at 7AM traveling at 33MPH. What mile will the trains meet?

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Question 723315: distance between pensacola and fort lauderdale is 792miles. Train A leaves at 6AM traveling 42MPH. Train B leaves at 7AM traveling at 33MPH. What mile will the trains meet?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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distance between pensacola and fort lauderdale is 792miles.
Train A leaves at 6AM traveling 42MPH.
Train B leaves at 7AM traveling at 33MPH.
What mile will the trains meet?
:
First find how many hrs after Train B leaves that they meet
t = B's travel time
(t+1) = A's travel time
:
When they meet, their total distance traveled will be 792 mi
Write a distance equation, dist = speed * time
42(t+1) + 33t = 792
42t + 42 + 33t = 792
42t + 33t = 792 - 42
75t = 750
t = 750/75
t = 10 hrs after Train B departs, they will meet
:
Find how many miles traveled by A, they will meet
11 * 42 = 462 mi from Pensacola
or for Train B
10 * 33 = 330 mi from Ft Lauderdale