Base Formula
Speed equals the distance travelled divided by the time taken.
Speed = Distance / Time
Quantitative Aptitude
Solve motion problems — relative speed, trains crossing poles/platforms, average speeds, races, and upstream/downstream boat calculations.
Time, speed and distance questions all reduce to distance = speed × time, but the real work is in unit conversion (km/h ↔ m/s), relative speeds for trains and two movers, average speed for a round trip, and upstream/downstream water motion. Speed is usually the quantity examiners twist: express the unknown, pick consistent units, and remember that crossing an object of non-zero length adds that length to the distance.
Speed is distance divided by time. Conversions: km/h to m/s.
Speed equals the distance travelled divided by the time taken.
Conversion factor between the two exam speed units.
Multiply by 5/18 to convert km/h to m/s.
The recurring question patterns in this topic — know the shape of each pattern before you solve.
Given two of the three, find the third with unit conversion.
60 km/h for 2.5 h → 150 km.
km/h to m/s by ×5/18 and back by ×18/5.
90 km/h = 25 m/s.
Harmonic mean of speeds for the same distance both ways.
40 and 60 km/h → 48 km/h.
Add train length (and platform length) to the distance covered.
200 m train at 72 km/h crosses 300 m platform → 25 s.
Opposite directions add speeds; same direction subtracts; boat ± stream.
150 m + 250 m trains toward each other → ≈9.6 s.
High-signal questions with full solution flow across difficulty patterns.
Classic exam problems worth internalizing — each one ships a complete step-by-step solution.
Average speed when traveling equal distances at speeds x and y.
Where most students lose marks — review these before you sit the test.
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