Elementary Mathematics & Statistics

Time & Work, Speed, Distance & Progressions

Work efficiency, pipes & cisterns, relative speed, train problems, AP, and GP.

Target: EPFO APFC 2026Topic-Level RAG Context ActiveModel: Nemotron 3.5 Lightning 30B / 120B

Topic Overview

Work efficiency, pipes & cisterns, relative speed, train problems, AP, and GP.

Key Syllabus Concepts

  • Time and Work: Unitary method, Total Work LCM approach, Efficiency ratio
  • Time, Speed and Distance: Average Speed = 2xy/(x+y) for equal distances
  • Train problems: Relative speed when moving in same vs opposite direction
  • Arithmetic Progression (AP: Tn = a + (n-1)d, Sn = n/2[2a+(n-1)d]) & Geometric Progression

High-Yield Important Points & Rules

  • 💡 When two objects move in opposite directions, relative speed = S1 + S2.
  • 💡 When moving in same direction, relative speed = |S1 - S2|.

Historical UPSC EPFO PYQ Relevance

3 Matched PYQs
2025EPFO APFCGeneral Ability Test• Q.1
Full Question
In the above passage there are four blanks Hy to numbered (1), (ii), (iii) and (iv). Select the option terce from those given below in which the most Nest. appropriate term has been used for each of the — blanks respectively : lay’s tury.
2025EPFO APFCGeneral Ability Test• Q.4
Full Question
Which one of the following options most appropriately describes the phrase “exacerbating labour shortages” ?
2025EPFO APFCGeneral Ability Test• Q.14
Full Question
Once he began to savour the taste of true wealth, he abandoned all his erstwhile ideas regarding social welfare and was subsequently labelled an apostate.

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