Time, Work and Distance
Overview
Time, Work and Distance is one of the most application-oriented topics in the MP TET Mathematics section. These problems test a candidate's ability to apply arithmetic reasoning to real-life situations—workers completing tasks, taps filling tanks, vehicles covering distances, and boats moving in streams. The topic draws heavily on concepts of ratio, proportion, and the unitary method.
For MP TET, expect 2–4 questions from this combined topic across Varg-1, Varg-2, and Varg-3 papers. Questions range from straightforward calculations to multi-step word problems. Mastery requires understanding the underlying relationships (work ∝ 1/time, distance = speed × time) and developing the ability to quickly set up equations from worded scenarios.
The key to success is recognising problem types instantly and applying the correct formula without confusion. Most errors stem from mixing up concepts or misreading the question—skills that improve with systematic practice.
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Key Concepts
- **Work and Time are inversely related**: If A completes a job in 10 days, A's one day work = 1/10. More efficient workers take less time.
- **Combined Work**: When A and B work together, their combined one day work = (1/a) + (1/b), where a and b are their individual completion times.
- **Efficiency Ratio**: If A is twice as efficient as B, then A takes half the time B takes. Efficiency ∝ 1/Time.