Wednesday, 22 April 2026

 

Time & Work – Advanced Models + Efficiency Tricks

Solve work problems faster using LCM method and efficiency shortcuts.


🔥 Shortcut Tricks

  • Take LCM of days as total work
  • Efficiency = Work per day
  • Use unit work (1/day)
  • Convert ratio into efficiency

 Solve in 5 Seconds

Q1: A completes work in 10 days. Work done in 1 day?

Answer: 1/10


Q2: A works twice as fast as B → ratio?

Answer: 2:1


 Exam Level Questions

Q3: A = 12 days, B = 18 days. Together?

Shortcut:
LCM = 36
A = 3, B = 2 → total = 5

Time: 36/5 = 7.2 days


Q4: A alone = 10 days, A+B = 6 days. Find B?

Solution:
A = 1/10
A+B = 1/6
B = (1/6 − 1/10) = 1/15

Answer: 15 days


Q5: A = 8 days, B = 12 days. Work together 2 days. Remaining work?

Solution:
LCM = 24
A = 3, B = 2 → total = 5/day
2 days work = 10
Remaining = 14 units


Q6 (Pipes): Pipe A fills in 6 hr, B empties in 8 hr. Time to fill?

Solution:
A = 1/6, B = −1/8
Total = 1/24

Answer: 24 hours


❌ Exam Trap

Q: A and B together take 6 days. If A is faster, find A’s time?

Trap: Cannot determine directly

Reason: Need individual efficiency info


⚡ Speed Booster Tip

Always convert days into efficiency before solving.



Shaktimatha Learning
Quant • Time & Work • Bank Exam Preparation

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