Math Problem Statement
Solve it
Solution
The question is in Hindi and seems to involve solving a work-time problem based on the image provided. Let me analyze and solve it.
The problem involves workers and machines. Here's a breakdown of the question:
- 3 machines take 4 days to complete the work.
- How many days will it take for 6 machines to complete the same work?
Step-by-Step Solution:
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Step 1: Calculate the total work done.
If 3 machines complete the work in 4 days:
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Step 2: Work done by 6 machines in 1 day.
In 1 day, 6 machines will complete:
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Step 3: Days required for 6 machines to complete the total work.
To complete 12 MD of work:
Thus, 6 machines will complete the work in 2 days.
If you'd like to verify or expand the solution further, feel free to ask!
5 Related Questions to Expand Understanding:
- How would the solution change if the number of machines increased to 8?
- What if only 2 machines were available for the task?
- How do we calculate work efficiency for machines in general?
- Can you solve this using ratios instead of the detailed method?
- How would the answer change if 3 machines worked half the time?
Tip:
Always cross-check your answer by verifying the relationship between work, workers, and time!
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Math Problem Analysis
Mathematical Concepts
Work-Time Relationship
Proportionality
Formulas
Work = Number of Machines × Time
Time = Total Work ÷ Work Per Day
Theorems
Inverse Proportionality of Time and Number of Workers
Suitable Grade Level
Grades 7-9