Work, Time & Rate
OpenBasic work-time relationship.
General Aptitude
Time & Work Tutorial
Time and work problems are common in aptitude tests. Key: convert work to rate, then add/subtract rates.
Key Formulas
- Work = Time × Rate
- Total Work = 1 (entire job)
- Combined Rate = 1/Time1 + 1/Time2
- Efficiency ∝ 1/Time
Combined Work (2+ Persons)
OpenSolve when multiple work together.
Pipe & Tank Problems
OpenInlet-outlet problems (pipes filling/draining).
Work, Time & Rate
Basic work-time relationship.
When to Use: When single person/task duration given.
Step-by-Step Method
- Work = Time × Rate (or Efficiency).
- Total work = 1 (whole job).
- If person completes in T days, rate = 1/T.
Worked Example
Question: A person completes a work in 8 days. In how many days will 2 persons complete?
- One person: 8 days to complete 1 work
- Rate of 1 person = 1/8 work/day
- Rate of 2 persons = 2 × (1/8) = 1/4
- Days = 1 ÷ (1/4) = 4 days
Final Answer: 4 days
Option Analysis
Common Mistakes
Quick Shortcut: Time = Work / Rate. More persons = less time proportionally.
Generated 5 focused questions for this pattern.
Q1. Two values are in ratio 5:2. If total is 100, find first value.
Answer: 71
Explanation: Step 1: Total parts = 5+2. Step 2: One part = 100/(7). Step 3: First value = 5 parts = 71.
Q2. Two values are in ratio 2:2. If total is 220, find first value.
Answer: 110
Explanation: Step 1: Total parts = 2+2. Step 2: One part = 220/(4). Step 3: First value = 2 parts = 110.
Q3. Two values are in ratio 5:5. If total is 170, find first value.
Answer: 85
Explanation: Step 1: Total parts = 5+5. Step 2: One part = 170/(10). Step 3: First value = 5 parts = 85.
Q4. Two values are in ratio 4:5. If total is 100, find first value.
Answer: 44
Explanation: Step 1: Total parts = 4+5. Step 2: One part = 100/(9). Step 3: First value = 4 parts = 44.
Q5. Two values are in ratio 3:2. If total is 200, find first value.
Answer: 120
Explanation: Step 1: Total parts = 3+2. Step 2: One part = 200/(5). Step 3: First value = 3 parts = 120.