<PRE><B>Question 601729</B>
Two trains are traveling between city A and city B on parallel tracks. 
The first train will leave at 10:30 AM traveling at a velocity if 35 mph toward city B. 
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1st train DATA:
rate = 35 mph ; time = x hrs ; distance = 35x miles
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The second train will leave city B at 2:30 PM traveling at a velocity of 60 mph toward city A.
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2nd train DATA:
rate = 60 mph ; time = x-4 hrs ; distance = 60(x-4) miles
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The two cities are 350 miles apart. 
Write the parametric equations that describe this situation.
How long does each train travel before they pass each other?
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Equation:
distance + distance = 350
35x + 60(x-4) = 350
35x + 60x - 240 = 350
95x = 590
x = 6.21 hrs. = 6 hr 12 minutes
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Which train will reach its destination first?
Train A takes 350/35 = 10 hrs
10 hrs from 10:30AM is 8:30 PM
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Train B takes 350/60 = 5.83 hrs = 5 hr + 50 minutes
5.83 hrs from 2:30 PM is 8:20 PM
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Train B will get to A before train A gets to B.
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Cheers,
Stan H.
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