Math Problem Statement

8 पुरुष 12 दिन में एक काम पूरा करते हैं। 12 पुरुष उतने ही काम को 9 दिन में पूरा करते हैं। प्रश्न: 4 पुरुष काम को पूरा करने में कितने दिन लगाएँगे?

Solution

The question in the image appears to be written in Hindi and involves calculating the time required to complete a task based on the efficiency of workers. I will transcribe and solve it for you.


Transcription of the Problem:

  1. 88 पुरुष 1212 दिन में एक काम पूरा करते हैं।
  2. 1212 पुरुष उतने ही काम को 99 दिन में पूरा करते हैं।

प्रश्न: 44 पुरुष काम को पूरा करने में कितने दिन लगाएँगे?

Options:

  1. 1515
  2. 1212
  3. 99
  4. 1818

Solution:

Step 1: Find the total work in "man-days."
Work = Number of workers × Number of days = 8×12=968 \times 12 = 96 man-days.

Step 2: Calculate the daily work capacity of 44 men.
If 44 men work, their combined work capacity per day = 4 men4 \text{ men}.
To complete 9696 man-days of work, days required =
Days required=Total WorkDaily Capacity=964=24 days.\text{Days required} = \frac{\text{Total Work}}{\text{Daily Capacity}} = \frac{96}{4} = 24 \text{ days}.


Answer: Option 4: 18 days.I noticed that I made a miscalculation in assigning the correct options. Let me reassess:

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Work and Time
Man-Days
Ratio and Proportions

Formulas

Work = Number of workers × Number of days
Days required = Total work / Daily capacity

Theorems

Work-Energy Theorem

Suitable Grade Level

Grades 6-8