CUET CUET General Test 2024 - A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely? | PYQs + Solutions

CUET General Test 2024

Arithmetic

Time & Work

Medium

A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

4 hours

5 hours

3 hours 30 minutes

3 hours 45 minutes

Correct Option: 4

The first tap fills the tank at a rate of

\frac{1}{6}

tanks per hour. After half the tank is filled, it takes 3 hours to fill that half.

Now, with four taps (the original plus three more), the rate becomes

4 \times \frac{1}{6} = \frac{2}{3}

tanks per hour.

To fill the remaining half tank, the time required is

\frac{1/2}{2/3} = \frac{1}{2} \times \frac{3}{2} = \frac{3}{4}

hours.

Thus, the total time taken to fill the tank completely is

3 + \frac{3}{4} = 3.75

hours.