Sunday, 26 April 2026

📘 BANK EXAM SPEED MATHS – PAGE 9

🔹 Time & Work Tricks

Time and Work questions are frequently asked in bank exams. Understanding efficiency and using shortcuts can help solve these questions quickly.

✅ Trick 1: Work Efficiency Concept

Concept: If A completes work in x days, then 1 day work = 1/x

Example: A completes work in 10 days

1 day work = 1/10

✅ Trick 2: Combined Work

Example: A = 10 days, B = 20 days

A's efficiency = 1/10
B's efficiency = 1/20
Total = 3/20
Time = 20/3 = 6.67 days

✅ Trick 3: LCM Method (Fastest)

Example: A = 6 days, B = 8 days

LCM = 24 units
A = 4 units/day, B = 3 units/day
Total = 7 units/day
Time = 24 ÷ 7 = 3.43 days

🔹 Time & Distance Tricks

✅ Trick 4: Basic Formula

Formula: Speed = Distance ÷ Time

Example: Distance = 120 km, Time = 2 hours

Speed = 120 ÷ 2 = 60 km/h

✅ Trick 5: Relative Speed

Concept:

Same direction → Subtract speeds
Opposite direction → Add speeds

Example: Speeds = 60 km/h and 40 km/h (opposite)

Relative speed = 100 km/h

✅ Trick 6: Train Crossing Shortcut

Example: Train length = 100 m, speed = 10 m/s

Time to cross pole = Length ÷ Speed
= 100 ÷ 10 = 10 seconds

🔹 Practice Questions

A completes work in 12 days, B in 6 days. Find combined time
A = 8 days, B = 12 days. Find efficiency ratio
Speed = 80 km/h, Time = 3 hours. Find distance
Two trains 50 km/h & 70 km/h opposite. Find relative speed
Train 120 m at 12 m/s, time to cross pole?

🔹 Exam Tips

✔ Use LCM method for faster Time & Work solving
✔ Remember basic formulas (Speed, Distance, Time)
✔ Apply relative speed concept correctly
✔ Avoid lengthy calculations by using shortcuts

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