Question

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 P and Q, having each turn together to fill the drum?

• A. 30
• B. 40
• C. 45
• D. 90

Answer 1

The correct option is C 45

Let capacity of P be x liters.
Then, capacity of Q
$=\frac{x}{3}litres.$

Capacity of the drum = 60x liters.

Required number of turns.
$=\frac{60x}{(x+\frac{x}{3})}=(60x\times \frac{3}{4x})=45.$