Lesson 2.4: Time, Work & Speed, Distance

Objective: Learn concepts and shortcut techniques for Time, Work, and Speed-Distance problems to solve them quickly in Banking Exams.

1. Time & Work Basics

• Work Formula:

  $$Work=Rate\times Time$$

  • If A can complete a work in X days, A’s 1-day work = 1X\frac{1}{X}X1​

• Combined Work:

  • If A and B can do a work in X and Y days respectively:

    1-day work of A+B=1X+1Y1 \text{-day work of A+B} = \frac{1}{X} + \frac{1}{Y}1-day work of A+B=X1​+Y1​

  • Total days to complete = 11-day work of A+B\frac{1}{\text{1-day work of A+B}}1-day work of A+B1​

• Efficiency Concept:

  • Efficiency ∝ Work done in 1 day

  • If A is twice as efficient as B, A will complete work in half the time of B

Example:

• A can do a work in 12 days, B in 16 days. Days required together = 11/12+1/16=6.857≈7\frac{1}{1/12 + 1/16} = 6.857 \approx 71/12+1/161​=6.857≈7 days

2. Speed, Distance & Time Basics

• Formulas:

  Speed=DistanceTime,Time=DistanceSpeed,Distance=Speed×TimeSpeed = \frac{Distance}{Time}, \quad Time = \frac{Distance}{Speed}, \quad Distance = Speed × TimeSpeed=TimeDistance​,Time=SpeedDistance​,Distance=Speed×Time

• Relative Speed:

  • Moving in same direction: Srel=S1–S2S_{rel} = S_1 – S_2Srel​=S1​–S2​

  • Moving in opposite direction: Srel=S1+S2S_{rel} = S_1 + S_2Srel​=S1​+S2​

• Shortcut Examples:

  1. If a car travels 60 km in 1.5 hours → Speed = 60 ÷ 1.5 = 40 km/h

  2. Two trains moving opposite direction 80 km apart, speeds 40 km/h and 60 km/h → Time to meet = 80 ÷ (40+60) = 0.8 hr

3. Tips & Tricks for Banking Exams

• Always convert time to hours or minutes consistently.

• For work problems, use 1-day work method to simplify.

• Practice relative speed and distance questions frequently.

• Memorize common formulas and shortcuts to save time.

• Solve mock questions daily to improve speed and accuracy.

✅ Lesson Summary:
Time, Work, and Speed-Distance problems are important in Banking Exams. Using formulas, efficiency concepts, and relative speed shortcuts helps solve questions accurately and quickly.