Ruling on a person who prays the Five Obligatory Daily Prayers at one time due to being very busy

A: In order to have one's deeds accepted, they must meet the following essential conditions: They have to be purely dedicated to Allah, and to be consonant with the Prophetic Sunnah. The Messenger of Allah (peace be upon him) has given a description of the Five Obligatory Daily Prayers and their times in the Hadith narrated on the authority of `Abdullah ibn `Amr (may Allah be pleased with them both) that the Messenger of Allah (peace be upon him) said: The time of the Zhuhr (Noon) Prayer is when the sun passes the meridian and a man's shadow is the same (length) as his height, (and it lasts) as long as the time for `Asr (Afternoon) Prayer has not come; the time for the `Asr Prayer is as long as the sun has not become pale; the time of the Maghrib (Sunset) Prayer is as long as the twilight has not ended; the time of the `Isha' (Night) Prayer is up to the middle of the average night; and the time of the Fajr (Dawn) Prayer is from the appearance of dawn, as long as the sun has not risen; but when the sun rises, refrain from Salah for it rises between the horns of the devil. This Hadith is related by Muslim. So the Prophet (peace be upon him) has set a fixed time for each Salah to be performed within, and delaying it until the due time is over is not permissible except for (Part No. 7; Page No. 38) one permitted to combine Zhuhr and `Asr Prayers and the Maghrib and the Isha' Prayers, like the traveler and the patient. Allah (Exalted be He) said: Verily, As-Salât (the prayer) is enjoined on the believers at fixed hours. So each Salah has to be offered in its due time.May Allah grant us Success! May peace and blessings be upon our Prophet Muhammad, his family, and Companions!