Speed, Time & Distance
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Formulas & 30-Second Shortcut Tricks
Formulas
- Speed = Distance / Time
- km/h → m/s: multiply by 5/18; m/s → km/h: multiply by 18/5
- Average speed (equal distances) = 2xy/(x+y)
- Train crossing a pole: time = train length / speed; a platform: (train + platform) / speed
- Relative speed: opposite directions add, same direction subtract
Shortcuts
- Memorise 36 km/h = 10 m/s, 72 km/h = 20 m/s, 54 km/h = 15 m/s.
- Average speed for equal distances is NEVER the simple average — use 2xy/(x+y).
Practice problems
A train running at 54 km/h crosses a pole in 8 seconds. What is the length of the train (in metres)?
A car goes from P to Q at 45 km/h and returns at 90 km/h. What is its average speed for the round trip (km/h)?
Two cars start towards each other from towns 140 km apart at 50 km/h and 20 km/h. After how many hours do they meet?
A train running at 108 km/h crosses a pole in 12 seconds. What is the length of the train (in metres)?
A car goes from P to Q at 60 km/h and returns at 90 km/h. What is its average speed for the round trip (km/h)?
Two cars start towards each other from towns 420 km apart at 60 km/h and 45 km/h. After how many hours do they meet?
A train running at 36 km/h crosses a pole in 12 seconds. What is the length of the train (in metres)?
A car goes from P to Q at 40 km/h and returns at 60 km/h. What is its average speed for the round trip (km/h)?
Two cars start towards each other from towns 240 km apart at 60 km/h and 20 km/h. After how many hours do they meet?
A train running at 108 km/h crosses a pole in 6 seconds. What is the length of the train (in metres)?
Speed, Time & Distance Speed Test
1 minute per question. Use the palette to jump around; you'll see time spent on every question at the end.