CAT Rate Problems: A Guide to Time, Speed, Distance & Work

Rate-based questions are a cornerstone of the CAT Quant section. Whether dealing with cars on a highway or workers on a project, the underlying logic is the same: Output = Rate × Time. This guided path will teach you the core frameworks and advanced shortcuts for mastering both Time, Speed, & Distance and Time & Work problems with speed and confidence.

Section 1: The Fundamentals of Work Rate

The Foundation: The "Work Rate" Method

Start with the fundamental principle: converting a total time to complete a job into a rate of work per unit of time (e.g., per hour or day).

Opposing Forces: Negative Work Rates

Learn how to handle common CAT scenarios with opposing forces, like a draining pipe, by simply using a negative rate.

Group Effort: The "Man-Days" Principle

Use the concept of "Total Effort" (Man-Days) as a powerful shortcut for problems involving groups of workers, a common CAT word problem format.

Variable Output: The Proportionality Method

Master the elegant formula for solving complex work problems where both the inputs (workers, time) and the output (work done) change.

Efficiency Ratios: Comparing Workers

Learn the three-step process to solve problems that compare the relative efficiency of different workers using ratios.

Section 2: Mastering Time, Speed & Distance

The TSD Triangle & Unit Conversions (NEW)

Introduce the core Distance=Speed × Time formula and the critical skill of ensuring unit consistency (km/h vs. m/s) with an interactive converter.

The Average Speed Trap (NEW)

Learn the crucial difference between simple average of speeds and the correct "Total Distance / Total Time" formula for complex journeys.

Relative Speed Concepts (NEW)

Master the two core scenarios for relative speed (objects moving in opposite vs. same directions) using a visual "race" simulator.

Advanced TSD Scenarios: Trains, Boats & Escalators (NEW)

Apply relative speed concepts to the classic, tricky CAT problem types involving trains crossing platforms, boats in streams, and escalators.

Ask Mindy

Hi! I'm Mindy, your AI learning assistant. How can I help you today?