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Solve this faster with the right shortcut first
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 7
Multiple Choice Question
Question
A worker completes seven-fifteenths of a job in 14 days. How many days will the whole job take at the same rate?
Explanation
Correct Answer: C
ANSWER
Correct Answer: C
Method / Topic: Time and Work
The whole job will take 30 days.
Why this answer is correct
The answer is based on combined work rates.
Short Explanation
The whole job will take 30 days.
Detailed Explanation
Question
A worker completes seven-fifteenths of a job in 14 days. How many days will the whole job take at the same rate?
ANSWER
Correct Answer: C
Method / Topic: Time and Work
If 7/15 of the job takes 14 days, the whole job takes 14×15/7=30 days.
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Question 7
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 worker completes seven-fifteenths of a job in 14 days. How many days will the whole job take at the same rate?
Explanation
Correct Answer: C
ANSWER
Correct Answer: C
Method / Topic: Time and Work
The whole job will take 30 days.
Why this answer is correct
The answer is based on combined work rates.
Short Explanation
The whole job will take 30 days.
Detailed Explanation
Question
A worker completes seven-fifteenths of a job in 14 days. How many days will the whole job take at the same rate?
ANSWER
Correct Answer: C
Method / Topic: Time and Work
If 7/15 of the job takes 14 days, the whole job takes 14×15/7=30 days.
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