- Xin has been given a 14 day training schedule by her coach.
Xin will run for \(A\) minutes on day 1 , where \(A\) is a constant.
She will then increase her running time by ( \(d + 1\) ) minutes each day, where \(d\) is a constant.
- Show that on day 14 , Xin will run for
$$( A + 13 d + 13 ) \text { minutes. }$$
Yi has also been given a 14 day training schedule by her coach.
Yi will run for \(( A - 13 )\) minutes on day 1 .
She will then increase her running time by ( \(2 d - 1\) ) minutes each day.
Given that Yi and Xin will run for the same length of time on day 14, - find the value of \(d\).
Given that Xin runs for a total time of 784 minutes over the 14 days,
- find the value of \(A\).