<p>Two pipes, \(A\) and \(B\) fill a \(60\) litre tank in \(7\frac{1}{2}\) minutes.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">Find the rate at which the tank is filled.<span class="inline-marks">[1]</span></div></li></ol>
<p>Pipe \(A\), working alone, can fill the tank in \(x\) minutes.</p>
<ol class="abc-list" start="2"><li><div class="list-item-paragraph">Write down, in terms of \(x\), the rate at which Pipe \(A\) fills the tank.<span class="inline-marks">[1]</span></div></li></ol>
<p>Pipe \(B\) can fill the same tank \(2\) minutes faster than Pipe \(A\).</p>
<ol class="abc-list" start="3"><li><div class="list-item-paragraph">Write down an equation and show that it simplifies to \(x^2 - 17x + 15 = 0\).<span class="inline-marks">[3]</span></div></li><li><ol class="i-list"><li><div class="list-item-paragraph">Solve the equation \(x^2 - 17x + 15 = 0\).<span class="inline-marks">[3]</span></div></li><li><div class="list-item-paragraph">Explain why one of the values must be rejected.<span class="inline-marks">[1]</span></div></li></ol></li></ol>

Two pipes, \(A\) and \(B\) fill a \(60\) litre tank in \(7\frac{1}{2}\) minutes.

Find the rate at which the tank is filled.

Pipe \(A\), working alone, can fill the tank in \(x\) minutes.

Write down, in terms of \(x\), the rate at which Pipe \(A\) fills the tank.

Pipe \(B\) can fill the same tank \(2\) minutes faster than Pipe \(A\).

Write down an equation and show that it simplifies to \(x^2 - 17x + 15 = 0\).

Linear Law

Linear Law