Travel brings two concessions for the prayer. The first is qasr, shortening the four-rak'ah prayers to two. The second is jam', combining two prayers into one time. The four-rak'ah prayers are Zuhr, Asr and Isha. Fajr and Maghrib are not shortened.

The Qur'an mentions shortening the prayer when travelling. In Surah An-Nisa, chapter four, verse one hundred and one, an English translation of the meaning reads: “And when you travel throughout the land, there is no blame upon you for shortening the prayer, especially if you fear that those who disbelieve may disrupt or attack you.”

A companion asked Umar about this, since the situation of fear mentioned in the verse was no longer present. Umar said he had wondered the same, and had asked the Prophet, peace be upon him, who replied that it is a charity Allah has given, so accept His charity. This is in Sahih Muslim, number six hundred and eighty-six. Ibn Umar reported that he accompanied the Prophet, who never prayed more than two rak'ahs on the journey, and that Abu Bakr, Umar and Uthman did the same, in Sahih al-Bukhari, number eleven hundred and two. Two other companions, Ibn Abbas and Anas, also described his practice on journeys. They reported that he would combine Zuhr with Asr, and Maghrib with Isha. That is in Sahih al-Bukhari, number eleven hundred and seven.

In practice: first, decide with your teacher whether your journey counts as travel in your school. Then shorten Zuhr, Asr and Isha to two rak'ahs, and pray Fajr and Maghrib in full. If you combine, do so according to the method taught in your school.

This is an area where the schools differ quite a lot. On status, the Hanafi school holds that shortening is obligatory for the traveller, while the majority regard it as a concession, and many regard taking it as better. On distance, the measures differ, and are commonly cited as around eighty to ninety kilometres, or about fifty miles. On duration, how long a traveller may stay in one place and still shorten ranges from about four days in some schools to fifteen days in the Hanafi school. And on combining, the Maliki, Shafi'i and Hanbali schools permit it on a journey, with conditions, while the Hanafi school permits actual combining only at Arafah and Muzdalifah during Hajj.

One more practical point: it is generally taught that a traveller who prays behind a resident imam completes the prayer with him. For your exact situation, such as a week in a hotel, ask your local teacher.