Class 7 Exam  >  Class 7 Questions  >  Three pipes A, B and C can fill an empty tank... Start Learning for Free
Three pipes A, B and C can fill an empty tank fully in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?
  • a)
    5/11
  • b)
    6/11
  • c)
    7/11
  • d)
    8/11
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Three pipes A, B and C can fill an empty tank fully in 30 minutes, 20 ...
Part filled by (A + B + C) in 3 minutes = 3 (1/30 + 1/20 + 1/10) = (3 × 11/60) = 11/20
Part filled by C in 3 minutes = 3/10
∴ Required ratio = (3/10 × 20/11) = 6/11
View all questions of this test
Most Upvoted Answer
Three pipes A, B and C can fill an empty tank fully in 30 minutes, 20 ...
To solve this problem, we need to determine the rate at which each pipe fills the tank and then calculate the proportion of solution R in the tank after 3 minutes.

Given information:
- Pipe A fills the tank in 30 minutes.
- Pipe B fills the tank in 20 minutes.
- Pipe C fills the tank in 10 minutes.

To find the rate at which each pipe fills the tank, we can calculate the fraction of the tank filled by each pipe per minute.
- Pipe A fills 1/30th of the tank per minute.
- Pipe B fills 1/20th of the tank per minute.
- Pipe C fills 1/10th of the tank per minute.

Now, let's consider the first 3 minutes of filling the tank. During this time:
- Pipe A fills 3 * (1/30) = 1/10th of the tank.
- Pipe B fills 3 * (1/20) = 3/20th of the tank.
- Pipe C fills 3 * (1/10) = 3/10th of the tank.

To find the proportion of solution R in the tank after 3 minutes, we need to compare the amounts filled by each pipe. The total amount filled by all three pipes is:
1/10 + 3/20 + 3/10 = 1/10 + 6/20 + 6/10 = 11/20

The proportion of solution R in the tank after 3 minutes is given by the amount filled by pipe C (solution R) divided by the total amount filled by all three pipes:
(3/10) / (11/20) = (3/10) * (20/11) = 6/11

Therefore, the proportion of solution R in the liquid in the tank after 3 minutes is 6/11, which corresponds to option B.
Free Test
Community Answer
Three pipes A, B and C can fill an empty tank fully in 30 minutes, 20 ...
B
Attention Class 7 Students!
To make sure you are not studying endlessly, EduRev has designed Class 7 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 7.
Explore Courses for Class 7 exam

Top Courses for Class 7

Three pipes A, B and C can fill an empty tank fully in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?a)5/11b)6/11c)7/11d)8/11Correct answer is option 'B'. Can you explain this answer?
Question Description
Three pipes A, B and C can fill an empty tank fully in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?a)5/11b)6/11c)7/11d)8/11Correct answer is option 'B'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Three pipes A, B and C can fill an empty tank fully in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?a)5/11b)6/11c)7/11d)8/11Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three pipes A, B and C can fill an empty tank fully in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?a)5/11b)6/11c)7/11d)8/11Correct answer is option 'B'. Can you explain this answer?.
Solutions for Three pipes A, B and C can fill an empty tank fully in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?a)5/11b)6/11c)7/11d)8/11Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 7. Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of Three pipes A, B and C can fill an empty tank fully in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?a)5/11b)6/11c)7/11d)8/11Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Three pipes A, B and C can fill an empty tank fully in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?a)5/11b)6/11c)7/11d)8/11Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Three pipes A, B and C can fill an empty tank fully in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?a)5/11b)6/11c)7/11d)8/11Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Three pipes A, B and C can fill an empty tank fully in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?a)5/11b)6/11c)7/11d)8/11Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Three pipes A, B and C can fill an empty tank fully in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?a)5/11b)6/11c)7/11d)8/11Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 7 tests.
Explore Courses for Class 7 exam

Top Courses for Class 7

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev