Class 3 Exam > Class 3 Questions > A man finishes a work in 6 days. A machine fi...
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A man finishes a work in 6 days. A machine finishes the same work in 45 hours. How much more time the man takes to finish the work?
- a)45 hours
- b)99 hours
- c)34 hours
- d)All the above
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A man finishes a work in 6 days. A machine finishes the same work in 4...
Solution:
To find out how much more time the man takes to finish the work compared to the machine, we need to convert the time taken by the machine into days.
Given:
The man finishes the work in 6 days.
The machine finishes the same work in 45 hours.
Converting machine's time to days:
1 day = 24 hours
45 hours ÷ 24 hours/day = 1.875 days
Therefore, the machine takes 1.875 days to finish the work.
Finding the difference in time:
The man takes 6 days to finish the work, while the machine takes 1.875 days. To find the difference in time, we subtract the machine's time from the man's time.
6 days - 1.875 days = 4.125 days
Therefore, the man takes 4.125 days more than the machine to finish the work.
Converting the difference to hours:
1 day = 24 hours
4.125 days × 24 hours/day = 99 hours
Therefore, the man takes 99 hours more than the machine to finish the work.
Hence, the correct answer is option 'B': 99 hours.
To find out how much more time the man takes to finish the work compared to the machine, we need to convert the time taken by the machine into days.
Given:
The man finishes the work in 6 days.
The machine finishes the same work in 45 hours.
Converting machine's time to days:
1 day = 24 hours
45 hours ÷ 24 hours/day = 1.875 days
Therefore, the machine takes 1.875 days to finish the work.
Finding the difference in time:
The man takes 6 days to finish the work, while the machine takes 1.875 days. To find the difference in time, we subtract the machine's time from the man's time.
6 days - 1.875 days = 4.125 days
Therefore, the man takes 4.125 days more than the machine to finish the work.
Converting the difference to hours:
1 day = 24 hours
4.125 days × 24 hours/day = 99 hours
Therefore, the man takes 99 hours more than the machine to finish the work.
Hence, the correct answer is option 'B': 99 hours.
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A man finishes a work in 6 days. A machine finishes the same work in 45 hours. How much more time the man takes to finish the work?a)45 hoursb)99 hoursc)34 hoursd)All the abovee)None of theseCorrect answer is option 'B'. Can you explain this answer?
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