Julia drives a total of 1000km over a holiday period of three days. On the first day she travels x kms, on the second day she travels half of what she travelled the day before and on the third day she travels one third of what she travelled on day one. Write an equation and solve it to find how far she travels on the first day to the nearest kilometre.
x + 1/2 x + 1/3 x = 1000
5/6 x = 1000
x = 1000 * 6/5 = 1200 km