Math Problem Statement
28
If pipe A can fill the cistern with capacity of the cistern? B fill the cistern It/min. Together, they are able to fill the cliten in 15 minutes, What is the
30
31
32
(A) 60 liters
34
35
36
38 39
40
40
Filter
Answered
248872
swered
rked
wwered & Marked
(B) 240 liters
(C) 100 liters
(D) 600 liters
Current Section Logical Aptitude
Remaining Time:
00:05:45
General So...
(15)
Computer A...
(15)
Sales Apti...
(10)
88 ater in 20 min and pipe
Hide Question Panel
Previous
Mark
- Clear
Next
to search
VA
246872
2-
872
AAA
248872
W
248872
Solution
It looks like you posted a partial question from a test or quiz, likely involving pipes filling a cistern. I will try to reconstruct and solve the problem based on the information provided.
Problem Interpretation
- Pipe A can fill a cistern in 20 minutes.
- Pipe B can fill the cistern in minutes.
- Together, Pipe A and Pipe B can fill the cistern in 15 minutes.
- We need to find the total capacity of the cistern (the answer choices suggest it's in liters).
Let's solve for the unknowns step by step.
Solution Steps
Step 1: Determine the Rate of Each Pipe
- The rate of Pipe A filling the cistern is cisterns per minute because it fills the cistern in 20 minutes.
- The rate of Pipe B filling the cistern is cisterns per minute because it fills the cistern in minutes.
Step 2: Combine the Rates of Both Pipes
When both pipes are open, their combined rate is:
Step 3: Solve for
Combine the fractions on the left side:
Cross-multiply to solve for :
Distribute and simplify:
So, Pipe B takes 60 minutes to fill the cistern by itself.
Step 4: Find the Capacity of the Cistern
Now, let's determine the capacity of the cistern. We know the combined rate fills the cistern in 15 minutes. The amount of water each pipe would contribute in these 15 minutes is:
Together, this sums to 1 cistern (0.75 + 0.25 = 1).
To find the cistern's capacity in liters, consider the total time taken when both pipes fill it:
If the capacity of the cistern is liters, the flow rate in liters per minute would be:
Given the rates of pipes A and B in liters per minute:
Substitute to simplify:
Simplify further:
Multiplying by 1200:
Solve for :
Conclusion
The total capacity of the cistern is 240 liters. The correct answer is (B) 240 liters.
Would you like more details, or have any questions?
Follow-up Questions
- How would the solution change if Pipe A filled the cistern in 30 minutes instead of 20?
- What if both pipes working together filled the cistern in 10 minutes instead of 15?
- How do different flow rates impact the time taken to fill the cistern?
- How would the answer change if Pipe B's flow rate doubled?
- Can you apply the concept of combined rates to other real-life scenarios?
Tip
Always break down problems involving rates into smaller steps, dealing first with individual contributions before combining them.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Rates
Pipes and Cisterns
Linear Equations
Formulas
Rate = Work / Time
Theorems
-
Suitable Grade Level
Grades 7-9
Related Recommendation
Pipes A, B, and C Problem: Finding the Capacity of a Cistern
Calculate Time to Fill Tank Using Inlet Pipes - Math Problem Solution
Work Rate Problem: Cistern Filling with Multiple Pipes and Partial Drainage
How Long to Fill a Cistern with Three Pipes Operating Simultaneously
Calculate Tank Fill Time with Pipes A, B, and C