Math Problem Statement
Solution
The problem presented in the image is in Hindi and translates to the following:
Question: If 18 people can complete a task in 13 days, how many days will 54 people take to complete the same task?
Answer Choices:
- days
- days
- 9 days
- days
Solution:
This is a classic "Work and Time" problem, where the relationship between the number of workers and the time taken to complete the same task is inversely proportional. The formula to solve this problem is:
Let’s apply the formula:
- For 18 people to complete the task in 13 days:
- Now, for 54 people, let the number of days taken be . So the work done will be: Since the total work remains constant, we equate both expressions: Solving for :
Thus, 54 people will complete the work in days.
Answer:
The correct answer is **Option
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Work and Time
Inverse Proportionality
Formulas
Work = Number of People × Time
Theorems
Inverse Proportionality Theorem in Work and Time Problems
Suitable Grade Level
Grades 6-8
Related Recommendation
Work and Time Problem: How Many Days for 8 Workers?
Work and Time Calculation: How Long Will 125 Men Take?
Work-Rate Problem: How Many Workers Needed to Complete a Job in 18 Days
Find Number of Workers to Complete Work in Less Days
Work Rate Problem: 9 Workers for 24 Days, Additional Workers After 4 Days