https://file.aiquickdraw.com/mathbot/file/1727872793764gypugzbd.jpg

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 \(12 + 2 = 14\) months.
- The work done by 1 man in 1 month is \( \frac{1}{14} \) of the total work.
- For 3 men, their combined work rate would be \(3 \times \frac{1}{14} = \frac{3}{14}\) of the total work per month.
- So, to complete the entire work, the time required by 3 men would be:

\[
\text{Time for 3 men} = \frac{1}{\frac{3}{14}} = \frac{14}{3} \approx 4.67 \text{ months}.
\]

Thus, 3 men can complete the work in approximately **4.67 months**.

Would you like further clarification on this? Here are some related questions:

1. How does the concept of work distribution change with more workers?
2. Can you explain the steps to convert time between different units (like years to months)?
3. What happens if the number of workers changes, for instance, if we have 4 men instead of 3?
4. How can we generalize the formula for work-time based on the number of workers?
5. 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.

A man can do a work in 1 year and 2 months. Then 3 men can do the work in how many months?

Learn how to calculate the time it takes for 3 men to complete a task when one man can do the work in 1 year and 2 months. A step-by-step solution using the work-rate formula and proportional distribution. Suitable for students in Grades 8-10.

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