Question 102159: The local train heading for Westford at 60km/h and the express train heading for Eastford at 80km/h pass each other at Centerville while heading in opposite directions along a straight roadbed. Westford and Eastford are 195 km apart, and if the local train makes one 15 minute stop after passing Centerville the express completes its run before the local does. What is the maximum distance to the nearest kilometer between Westford and Centerville.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The local train heading for Westford at 60km/h and the express train heading for Eastford at 80km/h pass each other at Centerville while heading in opposite directions along a straight roadbed. Westford and Eastford are 195 km apart, and if the local train makes one 15 minute stop after passing Centerville the express completes its run before the local does. What is the maximum distance to the nearest kilometer between Westford and Centerville.
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Find time they meet at Centerville.
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Local train DATA:
Rate = 60 kmh ; distance = x km; time = x/60 hrs
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Express train DATA:
Rate = 80 kmh ; distance = (195-x) km ; time = (195-x)/80 hrs
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EQUATION:
time = time
x/60 = (195-x)/80
x/3 = (195-x)/4
4x = 585-3x
7x = 585
x = 83.571 km (distance local train traveled to meeting point)
195-x= 111.429 km (distacne express trin traveled to meeting point)
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Looks like it is 111.429 km from Eastport to Centerville.
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Cheers,
Stan H.
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