Song durations

In the last 20 minutes, six songs were played. Two were the same length, 2 minutes each, 49 s. The next two were 52 seconds longer than the previous one. The penultimate song lasted only 180 s.
How long was the last song?
The last song lasted. It could have been a song.

Final Answer:

x =  240 s

Step-by-step explanation:

$$\begin{gathered} p_1=2\cdot 60+49=169\text{s} \\ {p}_2=p_1=169\text{s} \\ {p}_3=p_2+52=169+52=221\text{s} \\ {p}_4=p_2+52=169+52=221\text{s} \\ {p}_5=180\text{s} \\ t=20\cdot 60=1200\text{s} \\ x=t-(p_1+p_2+p_3+p_4+p_5)=1200-(169+169+221+221+180)=240\text{s} \end{gathered}$$

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