治るのに

for … to recover

→ 治る
phrase Rare #27,173
for … to recover のに here turns 治る into “for … to recover,” often in phrases about how long recovery takes or whether recovery is possible.
JA: 病気が治るのに一週間かかりました。
EN: It took a week for the illness to get better.

治るのにしばらくかかりますね。

It’ll take a while to heal.

この風邪、治るのに時間がかかりそうだよ。

This cold seems like it’s going to take a while to get over.

治るのに問題はないでしょう。

It should heal without any problems.

肺炎が治るのに長い時間かかった。

It took a long time for my pneumonia to get better.