SOLUTION: A freight train, traveling at an average rate of 30 mi/h, leaves san francisco for Los Angeles. 5 hours later, a passenger train, traveling at an average rate of 55 mi/hr, leaves S

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Question 499518: A freight train, traveling at an average rate of 30 mi/h, leaves san francisco for Los Angeles. 5 hours later, a passenger train, traveling at an average rate of 55 mi/hr, leaves San Francisco for Los Angeles. How far are the trains from San Francisco when the passenger train passes the freight train?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Freight train 30 mph
Passenger train 55 mph
Freight train 02:00
Passenger train 07:00
Difference in time= 05:00 => 5 hours
Freight train will have covered 150 miles before Passenger train starts from frisco
catch up distance= 150 miles
catch up speed = 55 -30 mph
catch up speed = 25 mph
Catchup time = catchup distance/catch up speed
catch up time= 150 / 25
catch up time= 6 hours
trains will be 11*30= 330 km