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Bucket A has thrice the capacity as bucket B. It takes 20 turns for bucket P to fill the empty drum. How many turns it will take for both the buckets A and B having each turn together to fill the empty drum
- a)12
- b)10
- c)15
- d)16
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Bucket A has thrice the capacity as bucket B. It takes 20 turns for bu...
A = 3B
A = 60, B = 20
No of turns = xy/x+y
No of turns = 60*20/20+60 = 1200/80 = 15 turns
A = 60, B = 20
No of turns = xy/x+y
No of turns = 60*20/20+60 = 1200/80 = 15 turns
Most Upvoted Answer
Bucket A has thrice the capacity as bucket B. It takes 20 turns for bu...
Let's assume that the capacity of bucket B is x liters. According to the given information, the capacity of bucket A is thrice that of bucket B, so the capacity of bucket A is 3x liters.
In one turn, bucket P fills the empty drum. So bucket P fills the drum in 20 turns.
To find out how many turns it will take for both buckets A and B to fill the empty drum, we need to determine the total capacity of both buckets A and B.
The total capacity of both buckets A and B is given by the sum of their individual capacities:
Total capacity = Capacity of bucket A + Capacity of bucket B
Total capacity = 3x + x = 4x liters
Now, we know that bucket P fills the empty drum in 20 turns. In each turn, the combined capacity of buckets A and B is filled. So, the combined capacity filled in one turn is:
Combined capacity filled in one turn = Total capacity / 20
Combined capacity filled in one turn = 4x / 20 = x / 5 liters
To fill the entire drum, we need to find out how many turns it will take for the combined capacity of buckets A and B to reach the total capacity of the drum, which is 1.
Number of turns = Total capacity / Combined capacity filled in one turn
Number of turns = 1 / (x / 5)
Number of turns = 5 / x
Since the options given are in terms of the number of turns, we need to find out the value of x that gives a whole number as the result.
The only option that gives a whole number when 5 is divided by x is option C, where x = 3.
Therefore, it will take 15 turns for both buckets A and B to fill the empty drum.
In one turn, bucket P fills the empty drum. So bucket P fills the drum in 20 turns.
To find out how many turns it will take for both buckets A and B to fill the empty drum, we need to determine the total capacity of both buckets A and B.
The total capacity of both buckets A and B is given by the sum of their individual capacities:
Total capacity = Capacity of bucket A + Capacity of bucket B
Total capacity = 3x + x = 4x liters
Now, we know that bucket P fills the empty drum in 20 turns. In each turn, the combined capacity of buckets A and B is filled. So, the combined capacity filled in one turn is:
Combined capacity filled in one turn = Total capacity / 20
Combined capacity filled in one turn = 4x / 20 = x / 5 liters
To fill the entire drum, we need to find out how many turns it will take for the combined capacity of buckets A and B to reach the total capacity of the drum, which is 1.
Number of turns = Total capacity / Combined capacity filled in one turn
Number of turns = 1 / (x / 5)
Number of turns = 5 / x
Since the options given are in terms of the number of turns, we need to find out the value of x that gives a whole number as the result.
The only option that gives a whole number when 5 is divided by x is option C, where x = 3.
Therefore, it will take 15 turns for both buckets A and B to fill the empty drum.
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Bucket A has thrice the capacity as bucket B. It takes 20 turns for bu...
What is P here ? (^o^)
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