Introduction
Time and Work questions test your ability to calculate how long a person or group of people takes to complete a task. These questions are commonly asked in aptitude tests and competitive examinations.
Question 1
A can complete a piece of work in 10 days.
How many days will A take to complete half of the work?
A) 2 days
B) 4 days
C) 5 days
D) 6 days
Answer
C) 5 days
Explanation
If A completes the whole work in 10 days, then half of the work will be completed in:
10 ÷ 2 = 5 days
Question 2
A can complete a job in 12 days.
B can complete the same job in 6 days.
Who works faster?
A) A
B) B
C) Both are equal
D) Cannot be determined
Answer
B) B
Explanation
The person who takes fewer days completes more work per day.
Since B takes only 6 days, B works faster.
Question 3
A can complete a work in 8 days.
What fraction of the work does A complete in one day?
A) 1/6
B) 1/7
C) 1/8
D) 1/9
Answer
C) 1/8
Explanation
Work done per day
= 1 ÷ Total Days
= 1/8
Therefore, A completes 1/8 of the work in one day.
Question 4
A can complete a work in 20 days.
How much work will A complete in 5 days?
A) 1/5
B) 1/4
C) 1/3
D) 1/2
Answer
B) 1/4
Explanation
Work done in one day
= 1/20
Work done in 5 days
= 5 × (1/20)
= 5/20
= 1/4
Question 5
A worker completes 1/15 of a job in one day.
How many days will he take to complete the entire job?
A) 10
B) 12
C) 15
D) 18
Answer
C) 15
Explanation
If a worker completes 1/15 of the work per day, then:
Total days required = 15
Key Learning
Important Formula:
Work Done in One Day = 1 ÷ Total Days
Total Days = 1 ÷ Work Done in One Day
These formulas are the foundation of Time and Work problems.
Practice Tip
Instead of focusing on the whole task, first calculate how much work is completed in one day. Most Time and Work questions become easier after this step.
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