SOLUTION: at 1:00pm 2 trains, traveling toward each other, leave from towns that are 312km apart. One train averages 82km/hr,a nd the other travels at 72km/hr. what time will they meet?

Question 930427: at 1:00pm 2 trains, traveling toward each other, leave from towns that are 312km apart. One train averages 82km/hr,a nd the other travels at 72km/hr. what time will they meet?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
at 1:00pm 2 trains, traveling toward each other, leave from towns that are 312km apart. One train averages 82km/hr,a nd the other travels at 72km/hr. what time will they meet?
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Faster train DATA:
distance = x km ; rate = 82 km/hr ; time = x/82 hrs
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Slower train DATA:
distance = 312-x km ; rate = 72 km/hr ; time = (312-x)/72
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Equation:
time = time
x/82 = (312-x)/72
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72x = 82*312 - 82x
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154x = 82*312
x = 166.13 km
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Ans: time = x/82 = 2.025 hrs = 2 hrs 2 min
Meeting time:: 3:02 PM
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Cheers,
Stan H.
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