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Shortcut used: Convert each person's time into one-day work, then add or subtract work rates.
Solve in 3 steps:
- Take total work as 1 or LCM.
- Find each one-day work rate.
- Combine rates as required.
Common mistake: Do not add days directly when people work together.
Question 3
Multiple Choice Question
Question
A completes one-third of a job in 6 days. At the same rate, how many days will the whole job take?
Explanation
Correct Answer: C
ANSWER
Correct Answer: C
Method / Topic: Time and Work
The complete job will take 18 days.
Why this answer is correct
The answer is based on combined work rates.
Short Explanation
The complete job will take 18 days.
Detailed Explanation
Question
A completes one-third of a job in 6 days. At the same rate, how many days will the whole job take?
ANSWER
Correct Answer: C
Method / Topic: Time and Work
If one-third takes 6 days, three equal thirds take 3×6=18 days.
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Question 3
Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake
Learn + solve
Shortcut used, common trap, and the fastest solving route
Shortcut used: Convert each person's time into one-day work, then add or subtract work rates.
Solve in 3 steps:
- Take total work as 1 or LCM.
- Find each one-day work rate.
- Combine rates as required.
Common mistake: Do not add days directly when people work together.
Question
A completes one-third of a job in 6 days. At the same rate, how many days will the whole job take?
Explanation
Correct Answer: C
ANSWER
Correct Answer: C
Method / Topic: Time and Work
The complete job will take 18 days.
Why this answer is correct
The answer is based on combined work rates.
Short Explanation
The complete job will take 18 days.
Detailed Explanation
Question
A completes one-third of a job in 6 days. At the same rate, how many days will the whole job take?
ANSWER
Correct Answer: C
Method / Topic: Time and Work
If one-third takes 6 days, three equal thirds take 3×6=18 days.
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