CUET Quant: Time, Speed, Distance & Work Shortcuts

📝 Why is the LCM Method a Game Changer for CUET?

If you are still solving Time and Work or Pipes and Cisterns questions using the traditional "1/x + 1/y" fractional method, you will lose precious time in the CUET General Test (Section III). Fractions cause calculation errors under pressure.

This PDF introduces you to the LCM (Total Work) Method and Relative Speed hacks that convert 3-minute complex questions into 30-second mental math problems.

• The LCM Method (Time & Work): How to assume the "Total Work" as the LCM of given days to find the per-day efficiency of workers A, B, and C instantly.
• Men, Women & Children (MDH Formula): A direct one-line equation (M1*D1*H1 / W1 = M2*D2*H2 / W2) to solve chain rule and contract-based questions.
• Relative Speed (Trains): Golden rules for when trains cross stationary objects (poles/bridges) versus moving objects (other trains in same/opposite directions).
• Boats & Streams: Clear formulas for Upstream (U) and Downstream (D) speeds to easily find the speed of the boat in still water and the speed of the current.

Pro Tip: Always check the units before starting calculation! NTA loves to trap students by giving the speed in km/hr but asking the time in seconds. Always use the 5/18 and 18/5 conversion trick first.