Time, Speed, Distance: Trains, Boats, and Races

Published · Learn24x7 editorial team

When two objects move toward each other, relative speed adds; same direction subtracts—verify who is faster.

Boats and streams separate still-water speed and current; never confuse downstream speed with still water.

Draw timelines for train crossing bridge versus train crossing pole—distance differs by train length.

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Coordinate Geometry: Distance, Midpoint, and Area

Area of polygon via shoelace formula is fast when vertices are listed in order.

Reading Speed for Non-Native Speakers: Building Habits

Track lines with a finger or cursor only if it genuinely reduces regressions—drop the habit if it slows you.

Trigonometry: Height & Distance with One or Two Observations

Draw a clear diagram labeling known angles and horizontal distances before choosing ratios.

Effective Time Management for Competitive Exams

Time is the scarcest resource in competitive exam preparation. This guide explains how to build a realistic weekly timetable, protect deep-work blocks for quantitative sections, and use short revision sprints for theory-heavy subjects.