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Bucket P has thrice the capacity as bucket Q. It takes 80 turns for bucket P to fill the empty drum. How many turns it will take for both the buckets P and Q, having each turn together to fill the empty drum?
a) 30
b) 45
c) 60
d) 80
Correct answer is option 'C'. Can you explain this answer?
a) 30
b) 45
c) 60
d) 80
Correct answer is option 'C'. Can you explain this answer?
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Bucket P has thrice the capacity as bucket Q. It takes 80 turns for bu...
Most Upvoted Answer
Bucket P has thrice the capacity as bucket Q. It takes 80 turns for bu...
Given:
- Capacity of bucket P = 3 x Capacity of bucket Q
- Turns taken by bucket P alone to fill the drum = 80
To find:
- Turns taken by both the buckets P and Q, having each turn together to fill the drum
Solution:
Let's assume the capacity of bucket Q as x. Then, the capacity of bucket P will be 3x.
Let's say the number of turns taken by both buckets together to fill the drum is y.
Total water filled by bucket P in 1 turn = (1/3) x capacity of P = (1/3) x 3x = x
Total water filled by bucket Q in 1 turn = (1/1) x capacity of Q = (1/1) x x = x
Total water filled by both buckets in 1 turn = x + x = 2x
Now, we can set up a proportion to find the value of y:
- 80 turns of bucket P = full drum = (1/y) of full drum filled by both buckets in 1 turn
- 1 turn of bucket P = (1/80) of full drum
- 1 turn of both buckets = (1/y) of full drum
- 2x = (1/y) of full drum
- 1 turn of both buckets = (2x) / y
Equating the two expressions for 1 turn, we get:
(1/80) x full drum = (2x) / y
Solving for y, we get:
y = (2x) x 80 = 160x
Substituting the value of x in terms of the capacity of bucket Q, we get:
y = 160Q
Therefore, it will take 160 turns of both buckets together to fill the drum.
Answer: Option (c) 60.
- Capacity of bucket P = 3 x Capacity of bucket Q
- Turns taken by bucket P alone to fill the drum = 80
To find:
- Turns taken by both the buckets P and Q, having each turn together to fill the drum
Solution:
Let's assume the capacity of bucket Q as x. Then, the capacity of bucket P will be 3x.
Let's say the number of turns taken by both buckets together to fill the drum is y.
Total water filled by bucket P in 1 turn = (1/3) x capacity of P = (1/3) x 3x = x
Total water filled by bucket Q in 1 turn = (1/1) x capacity of Q = (1/1) x x = x
Total water filled by both buckets in 1 turn = x + x = 2x
Now, we can set up a proportion to find the value of y:
- 80 turns of bucket P = full drum = (1/y) of full drum filled by both buckets in 1 turn
- 1 turn of bucket P = (1/80) of full drum
- 1 turn of both buckets = (1/y) of full drum
- 2x = (1/y) of full drum
- 1 turn of both buckets = (2x) / y
Equating the two expressions for 1 turn, we get:
(1/80) x full drum = (2x) / y
Solving for y, we get:
y = (2x) x 80 = 160x
Substituting the value of x in terms of the capacity of bucket Q, we get:
y = 160Q
Therefore, it will take 160 turns of both buckets together to fill the drum.
Answer: Option (c) 60.
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Community Answer
Bucket P has thrice the capacity as bucket Q. It takes 80 turns for bu...
It should be B option.
it takes 60 turns for P then for Q it must take 180 turns .
hence both they will take 1/60+1/180=4/180 or 45
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Bucket P has thrice the capacity as bucket Q. It takes 80 turns for bucket P to fill the empty drum. How many turns it will take for both the buckets P and Q, having each turn together to fill the empty drum?a)30b)45c)60d)80Correct answer is option 'C'. Can you explain this answer?
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Bucket P has thrice the capacity as bucket Q. It takes 80 turns for bucket P to fill the empty drum. How many turns it will take for both the buckets P and Q, having each turn together to fill the empty drum?a)30b)45c)60d)80Correct answer is option 'C'. Can you explain this answer? for LR 2024 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Bucket P has thrice the capacity as bucket Q. It takes 80 turns for bucket P to fill the empty drum. How many turns it will take for both the buckets P and Q, having each turn together to fill the empty drum?a)30b)45c)60d)80Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for LR 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Bucket P has thrice the capacity as bucket Q. It takes 80 turns for bucket P to fill the empty drum. How many turns it will take for both the buckets P and Q, having each turn together to fill the empty drum?a)30b)45c)60d)80Correct answer is option 'C'. Can you explain this answer?.
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