Judging by your description...

A human can approximately walk 96 miles a day. Taking breaks and sleep in to account I decide that you walk 14 hours in one day making it 56 miles (96 / 24 * 14 = 56). One mile is approximately 1.6 Kilometres, making it 90 kilometres a day (56 * 1.6 = 89.6 ~ 90). I assume several days is more than a pair of days and less than a week, so I settled on four days making it 360 kilometres between the mountain and the nearest coast. Using a ruler I estimated it to be 3 centimetres between the middle of the mountain to the closest coast. this would mean the map has a scale of 1 : 12 000 000 (360 / 3 = 120). Thank you for your answer!

[@Chenzor]