What is the distance within which it is obligatory to pray in the mosque?
Question

                Iam ging to travel to the UK and stay there for one week InshAllah ,the nearest mosque to my residence there is about one and a half kilometres away. Of course I would not here the call to prayer because adhan is not announced in the UK in most places . It would be rather difficult for me to walk this long distance five times a day back and forth for jamaa prayers( I am in very good health but this distance five times daily would be some effort). I know I could take a bus but still would be alot of work when done five times a day. Would it be permissible for me to pray alone at my residence for that week? I have read that the distance beyond which adhan could not be heard is about five kilometres but I believe this is a very long distance indeed to ask anyone to walk to reach the mosque, besides I could not imagine how adhan could be heard anyway from this very long distance even if it is very quiet. I believe there is some mistake in this calculation. Kindly please give me your opinion as to praying at my residence , is it allowed or not?
Praise be to Allah.It is obligatory upon the one who hears the call to prayer 
          given in a normal voice, without the use of loudspeakers, to respond 
          and attend the prayer in congregation in the mosque from which the call 
          is given, because the Prophet 
          
          (peace and blessings of Allaah be upon him) said: "Whoever hears 
          the call and does not come [to the mosque], there is no prayer for him, 
          except for one who has an excuse." This was narrated by Ibn Maajah, 
          al-Daaraqutni, Ibn Hibbaan and al-Haakim with a saheeh isnaad.
Ibn 'Abbaas (may Allaah be pleased with him) was asked 
          what counts as an excuse. He said, "Fear or sickness." Muslim 
          narrated in his Saheeh from Abu Hurayrah (may Allaah be pleased 
          with him) that a blind man said, "O Messenger of Allaah, I do not 
          have anyone to guide me to the mosque; may I have a dispensation to 
          let me pray in my house?" The Prophet 
          
          (peace and blessings of Allaah be upon him) said, "Can you hear 
          the call to prayer?" He said, "Yes." He said, "Then 
          respond."
In Saheeh Muslim it is narrated that Ibn Mas'ood 
          (may Allaah be pleased with him) said: "Whoever wants to meet Allaah 
          tomorrow as a Muslim, then let him pray these prayers regularly when 
          the call for them is given, for Allaah has shown your Prophet the ways 
          of guidance, and they are part of the ways of guidance. If you pray 
          in your houses like this one who stayed at home, then you have forsaken 
          the Sunnah of your Prophet, and if you forsake the Sunnah of your Prophet 
          you will go astray. And at that time we saw no one stay behind except 
          for a hypocrite who was known for his hypocrisy or one who was sick. 
          A man would be brought to the prayers, supported by two others, so that 
          he could stand in the row."
In al-Saheehayn it is narrated that the Prophet 
          
          (peace and blessings of Allaah be upon him) said: "I was thinking 
          of commanding that the call to prayer should be given, then the iqaamah, 
          then I would command a man to lead the people in prayer, and I would 
          go out with some men carrying bundles of wood to people who do not attend 
          the prayers, and I would burn their houses with them inside." There 
          are many ahaadeeth which speak of the importance of the prayer and urge 
          us to pray in the mosques. It is obligatory for the Muslims to pray 
          regularly in the mosques and encourage one another to do that and to 
          co-operate in doing so… But in the case of one who is far away from 
          the mosque and cannot hear the call to prayer except via the loudspeaker, 
          he is not obliged to attend the mosque and he and others who are with 
          him can pray in jamaa'ah on their own, because of the apparent meaning 
          of the ahaadeeth quoted above. But if they take on the hardship and 
          join the congregation in the mosque from which they cannot hear the 
          call to prayer except via loudspeakers, because they are far away from 
          it, that will increase their reward, because the Prophet 
          
          (peace and blessings of Allaah be upon him) said, "The people who 
          will earn the greatest reward for prayer are those who live farthest 
          away, (and the further away you live, the more reward you will earn)." 
          And there are very many ahaadeeth which speak of the virtues of going 
          to the mosque and encourage us to do so. And Allaah is the Source of 
          strength.
 Majmoo' Fataawa al-Shaykh Ibn Baaz (may Allaah 
          have mercy on him), vol. 12, 58-61
The scholars said concerning the guidelines on hearing 
          the call to prayer (adhaan):
Al-Shaafa'i (may Allaah have mercy on him) said: [the 
          guideline is the distance within which the adhaan can be heard] if the 
          muezzin has a loud voice and a person can hear (i.e., he is not deaf), 
          and there is little noise and the wind is still – because if the muezzin 
          does not have a loud voice, and the people are not paying attention, 
          and there is a lot of noise, then fewer people would hear the call.
 Al-Umm, vol. 1, p. 221
Al-Nawawi said: the guideline with regard to hearing the 
          call to prayer is that the muezzin stands at a certain location in the 
          city, there is no noise and the wind is still, and a person can hear 
          him; if a person can hear him he is obliged to attend the prayers in 
          the mosque, and if he cannot hear him, he is not obliged.
(al-Majmoo' Sharh al-Muhadhdhab, vol. 4, p. 353
Ibn Qudaamah said: The furthest place from which the call 
          can usually be heard– if the muezzin has a strong voice and stands in 
          a high place, and the wind is still and there is no noise, and the listener 
          is not inattentive – is the distance which is to be taken into account.
(al-Mughni, 
          vol. 2, p. 107).