Math Problem Statement
Find out the answer
Solution
I can help you solve the questions from the image. Let's go through each one individually:
13. Arun and Bala working together
Arun can complete a task in 22 hours, and Bala can complete the same task in 6 hours. How long will they take together?
We use the formula:
So, for Arun: For Bala:
When they work together, the combined work rate is the sum of their individual rates:
Now, let me calculate this.
The total time taken for Arun and Bala to complete the task together is hours, which is approximately 4.7 hours.
Thus, the answer to question 13 is: A. 4.7 hours
Would you like me to solve the next question? Feel free to ask for clarifications or more details.
Here are 5 related questions to practice:
- How do you calculate work rates when multiple workers are involved?
- If another person could do the same task in 8 hours, how would the total time change?
- How would the formula change if the workers had different efficiency levels for different parts of the task?
- How does dividing the work among multiple people reduce the overall time?
- Can the total time ever exceed the time taken by the slowest person?
Tip: When solving work-related problems, always sum up the rates to get the combined rate, and take the reciprocal to find the total time.
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Math Problem Analysis
Mathematical Concepts
Work-Rate Problems
Fractions
Time and Efficiency
Formulas
Work rate = 1 / (time taken)
Combined work rate = sum of individual rates
Total time = 1 / (combined rate)
Theorems
Basic work-rate theorem
Reciprocal theorem in work problems
Suitable Grade Level
Grades 8-10
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