Math Practice Topic: Train Problems

 Description: This is an SAT-level topic that applies the concept of distance = rate x time using word problems that involve trains. You may need pencil and paper. Adaptive Learning Progression: Lots of variety, progressively becoming more difficult. Start using MathScore for free

Sample Levels (out of 10)

Solve. If asked for time, a proper answer looks like this: 1:35am

 1 A train leaves Florence at 12:00 am, averaging 50 mph.Another train headed in the same direction leaves Florence at 2:00 am, averaging 80 mph.To the nearest tenth, how many hours after the second train leaves will it overtake the first train? 2 A train leaves San Francisco at 9:00 am, averaging 30 mph.Another train headed in the same direction leaves San Francisco at 10:00 am, averaging 60 mph.To the nearest tenth, how many hours after the second train leaves will it overtake the first train?

Solve. If asked for time, a proper answer looks like this: 1:35am

 1 A train leaves Florence at 7:00 am, averaging 60 mph.Another train headed in the same direction leaves Florence at 9:00 am, averaging 80 mph.To the nearest minute, at what time will the second train overtake the first train? 2 A train leaves Berlin at 4:00 pm, averaging 80 mph.Another train headed in the same direction leaves Berlin at 7:00 pm, averaging 100 mph.To the nearest minute, at what time will the second train overtake the first train?

Solve. If asked for time, a proper answer looks like this: 1:35am

 1 A train leaves Taipei at 9:00 pm, averaging 40 mph.Another train headed in the opposite direction leaves Taipei at 1:00 am, averaging 60 mph.To the nearest mile, how far are the two trains from each other at 4:00 am? 2 A train leaves Denver at 3:00 am, averaging 70 mph.Another train headed in the opposite direction leaves Denver at 5:00 am, averaging 80 mph.To the nearest mile, how far are the two trains from each other at 7:00 am?

Solve. If asked for time, a proper answer looks like this: 1:35am

 1 A train leaves Kansas City for a nearby city at 9:30 am, averaging 35 mph.Another train leaves the nearby city for Kansas City at 10:15 am, averaging 55 mph.If the nearby city is 431.25 miles from Kansas City, to the nearest minute, at what time will the two trains pass each other? 2 A train leaves Rome for a nearby city at 6:30 pm, averaging 30 mph.Another train leaves the nearby city for Rome at 10:30 pm, averaging 55 mph.If the nearby city is 375 miles from Rome, to the nearest minute, at what time will the two trains pass each other?

Solve. If asked for time, a proper answer looks like this: 1:35am

 1 A train leaves Florence at 12:45 am, averaging 100 mph.Another train headed in the same direction leaves Florence at 3:15 am, averaging 110 mph.To the nearest tenth, how many hours after the second train leaves will it overtake the first train? 2 A train leaves Austin at 4:30 pm, averaging 65 mph.Another train headed in the same direction leaves Austin at 7:30 pm, averaging 85 mph.To the nearest tenth, how many hours after the second train leaves will it overtake the first train?

Solve. If asked for time, a proper answer looks like this: 1:35am

 1 A train leaves Buenos Aires at 12:00 pm, averaging 95 mph.Another train headed in the same direction leaves Buenos Aires at 4:00 pm, averaging 125 mph.To the nearest minute, at what time will the second train overtake the first train? 2 A train leaves Denver at 7:30 pm, averaging 45 mph.Another train headed in the same direction leaves Denver at 8:15 pm, averaging 70 mph.To the nearest minute, at what time will the second train overtake the first train?

Solve. If asked for time, a proper answer looks like this: 1:35am

 1 A train leaves Las Vegas at 10:50 am, averaging 63 mph.Another train headed in the same direction leaves Las Vegas at 11:00 am, averaging 91 mph.To the nearest tenth, how many hours after the second train leaves will it overtake the first train? 2 A train leaves Geneva at 8:38 am, averaging 48 mph.Another train headed in the opposite direction leaves Geneva at 9:00 am, averaging 64 mph.To the nearest mile, how far are the two trains from each other at 11:00 am? 3 A train leaves Venice at 2:20 pm, averaging 95 mph.Another train headed in the same direction leaves Venice at 4:30 pm, averaging 113 mph.To the nearest tenth, how many hours after the second train leaves will it overtake the first train?