SOLUTION: Jo Beth left her college town on a bus that traveled 60 mi/h. three hours later, her father left home driving at a speed of 50mi/h to meet the bus. If the college was 345 mi from J

Question 331741: Jo Beth left her college town on a bus that traveled 60 mi/h. three hours later, her father left home driving at a speed of 50mi/h to meet the bus. If the college was 345 mi from Jo Beth�s home and the father met the bus as it was arrived at the station, how long did the father drive to meet the bus?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
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let bus station be x miles from home.
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jo beth traveled 3 hours at 60 mph before father left home
she traveled 180 miles.
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so she traveled 345-180 = 165 miles from the time her dad started.
time taken by her to travel 165-x miles = 165-x /60 hours
time taken by Dad to reach bus station = x/50
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times are equal.
x/50 = 165-x / 60
60x=50(165-x)
60x=8250-50x
110x = 8250
x= 8250/110
x= 75 miles distance from home to bus station.
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