Math Problem Statement
A train running at the rate of 96km/h overtakes another train, 144m long, running 72km/h in the same direction on a parallel track, and passes it in 30s. In what time would the first train pass another of its own length going in the opposite direction at 48km/h?
Solution
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Math Problem Analysis
Mathematical Concepts
Relative Speed
Distance-Time-Speed Relationship
Unit Conversion
Formulas
Relative speed = Speed1 - Speed2 (same direction)
Relative speed = Speed1 + Speed2 (opposite direction)
Distance = Speed * Time
Time = Distance / Speed
Theorems
Relative speed theorem for objects in motion
Suitable Grade Level
Grades 10-12
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