CUET CUET Mathematics 2024 - Two pipes A and B together can fill a tank in 40 minutes. Pipe A is twice as fast as pipe B. Pipe A alone can fill the tank in : | PYQs + Solutions

CUET Mathematics 2024

Arithmetic

Time & Work

Easy

Two pipes A and B together can fill a tank in $40$ minutes. Pipe A is twice as fast as pipe B. Pipe A alone can fill the tank in :

1

hour

2

hours

80

minutes

20

minutes

Correct Option: 1

Make the PRT table:

\begin{array}{l|c|c|c} \text{Person:} & A + B & A & B \\ \hline \text{Rate:} & & 2x & x \\ \hline \text{Time (mins):} & 40 & & \\ \hline \text{Total Work:} & & & \\ \end{array}

Add the rates of the pipes working together:

\begin{array}{l|c|c|c} \text{Person:} & A + B & A & B \\ \hline \text{Rate:} & 3x & 2x & x \\ \hline \text{Time (mins):} & 40 & & \\ \hline \text{Total Work:} & 120x & & \\ \end{array}

Hence, time taken by Pipe A alone

=\frac{120x}{2x} = 60

mins.