Math Problem Statement
Solution
From the image, I can make out part of a question involving time and work. The text says:
"A man can do a work in 1 year and 2 months. Then 3 men can do the work in ___ months."
There are four answer options:
- a) 28 months
- b) 27 months
- c) 29 months
- d) 26 months
Let's calculate the time 3 men would take to complete the same work.
Solution:
- First, convert the given time for 1 man into months. "1 year and 2 months" equals months.
- The work done by 1 man in 1 month is of the total work.
- For 3 men, their combined work rate would be of the total work per month.
- So, to complete the entire work, the time required by 3 men would be:
Thus, 3 men can complete the work in approximately 4.67 months.
Would you like further clarification on this? Here are some related questions:
- How does the concept of work distribution change with more workers?
- Can you explain the steps to convert time between different units (like years to months)?
- What happens if the number of workers changes, for instance, if we have 4 men instead of 3?
- How can we generalize the formula for work-time based on the number of workers?
- Why does dividing work among more people decrease the time needed?
Tip:
Always convert all time units to the same scale (e.g., months or days) to avoid confusion when working with time and work problems.
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Math Problem Analysis
Mathematical Concepts
Time and Work
Proportions
Formulas
Work rate of 1 man = 1 / total time
Combined rate for multiple workers = n * (work rate of 1 man)
Theorems
Work distribution among multiple workers
Suitable Grade Level
Grade 8-10