<p>Ashley and Billie are swimmers training for a competition.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">Ashley trains for&nbsp;\(12\) hours in the first week. She decides to increase the amount of time she spends training by \(2\) hours each week. Find the total number of hours she spends training during the first \(15\) weeks.<span class="inline-marks">[3]</span></div></li><li><div class="list-item-paragraph">Billie also trains for&nbsp;\(12\) hours in the first week. She decides to train for&nbsp;\(10 \%\) longer each week than the previous week.<span class="inline-marks">[4]</span></div><ol class="i-list"><li><div class="list-item-paragraph">Show that in the third week she trains for&nbsp;\(14.52\) hours.</div></li><li><div class="list-item-paragraph">Find the total number of hours she spends training during the first \(15\) weeks.</div></li></ol></li><li><div class="list-item-paragraph">In which week will the time Billie spends training first exceed \(50\) hours?<span class="inline-marks">[4]</span></div></li></ol>

Ashley and Billie are swimmers training for a competition.

Ashley trains for \(12\) hours in the first week. She decides to increase the amount of time she spends training by \(2\) hours each week. Find the total number of hours she spends training during the first \(15\) weeks.

Billie also trains for \(12\) hours in the first week. She decides to train for \(10 \%\) longer each week than the previous week.

In which week will the time Billie spends training first exceed \(50\) hours?

APGP

International Baccalaureate Standard Level Mathematics