SOLUTION: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 miles per hour and train B is traveling at 90 miles per hour. Train A passes a sta
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Question 143392: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 miles per hour and train B is traveling at 90 miles per hour. Train A passes a station at 5:15 A.M. If train B passes the same station at 5:45 A.M., at what time will train B catch up to train A?
__:___AM/PM
You can put this solution on YOUR website! Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 miles per hour and train B is traveling at 90 miles per hour. Train A passes a station at 5:15 A.M. If train B passes the same station at 5:45 A.M., at what time will train B catch up to train A?
__:___AM/PM
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From the information given we can say:
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Train A has traveled .5 * 80 = 40 mi, from the station, when Train B passes the station.:
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Let t = time (in hrs) for B to catch up with A, from the station
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When B catches A they will have traveled the same distance from the station
Write a dist equation; dist = speed * time
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90t = 80t + 40
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90t - 80t = 40
t =
t = 4 hrs
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B catches A at 9:45 AM
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Check solution; confirm the dist from the station for each train is the same
90*4 = 360 mi
80*4 + 40 = 360 mi
