Sita’s bucket has thrice the capacity as Ramu’s bucket. It takes 60 turns for Sita’s bucket to fill the empty drum. How many turns it will take for both the buckets of Sita’s and Ramu’s, having each turn together to fill the empty drum?

Sita’s bucket has thrice the capacity as Ramu’s bucket. It takes 60 turns for Sita’s bucket to fill the empty drum. How many turns it will take for both the buckets of Sita’s and Ramu’s, having each turn together to fill the empty drum? Correct Answer 45

Given that it takes 60 turns for Sita’s bucket to fill the empty drum.

Capacity of Sita’s bucket = 3(Capacity of Ramu’s bucket)

⇒ No. of turns for Ramu’s bucket to fill the empty drum = 60 × 3 = 180

Assume the capacity of drum = 180 units

⇒ Sita’s bucket capacity = 180/60 = 3 units

⇒ Ramu’s bucket capacity =180/180 = 1 unit

⇒ Sita’s bucket + Ramu’s bucket capacity in 1 turn = 3 + 1 = 4

∴ No. of turns needed when they together try to fill the empty drum = 180/4 = 45 turns

Related Questions