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Bucket P has thrice the capacity as bucket Q. It takes 60 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 emp
- A30
- B40
- C45
- D90
Correct answer: C
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CCommunity
45
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Solution:
Let the volume of the drum be 'V'.
Let 'x' litre be the capacity of the bucket Q. Then the capacity of bucket P = 3x
Let 'n' be the number of turns taken by the buckets.
Given: Bucket P takes 60 turns to fill the empty drum,
We know that, Volume of the drum = n × capacity of the bucket P
V = 60 × 3x
V = 180 x
x = V/180
Volume of the drum when filled together by the two buckets P & Q,
V = n × capacity of bucket P and Q
V = n × ( 3x + x )
V = 4xn
V = 4 (V/180)n
1 = 4 (1/180)n
1 = (1/45)n
n = 45
So, the correct option is C). 45
Let the volume of the drum be 'V'.
Let 'x' litre be the capacity of the bucket Q. Then the capacity of bucket P = 3x
Let 'n' be the number of turns taken by the buckets.
Given: Bucket P takes 60 turns to fill the empty drum,
We know that, Volume of the drum = n × capacity of the bucket P
V = 60 × 3x
V = 180 x
x = V/180
Volume of the drum when filled together by the two buckets P & Q,
V = n × capacity of bucket P and Q
V = n × ( 3x + x )
V = 4xn
V = 4 (V/180)n
1 = 4 (1/180)n
1 = (1/45)n
n = 45
So, the correct option is C). 45