how can you estimate the time difference between your home and places that are 60 degrees west and 60 degrees east

When we mention degrees west or degrees east, we are talking about longitude. Longitude is given in degrees, minutes and seconds, as an angular measurement starting from 0° at the Prime Meridian (located in Greenwich, England) to + 180° eastward and - 180° westward. Earth is a 360 sexagesimal degrees circumference and it takes 24 hours to rotate it totally around the Sun, therefore in one hour our planet rotates 15 degrees of circumference (360/24=15). When we go on east direction, time zone moves forward and when we go on west direction, time zone moves backward. According to that, 60 degrees east are 4 hours of difference (60/15=4) later than our home (home + 4 hours) and 60 degrees west are same 4 hours of difference (60/15=4), but in this case earlier than our home (home - 4 hours).