I'm skeptical of the design that requires that, but you could duplicate the start date in another column and sort by that:

Row\Col
A
B
C
D
E
1
Task
Title
Person
Start/End
Start
2
2
Clean Car
Jake the snake
10/17/2015
10/17/2015
3
10/29/2015
10/17/2015
4
1
Mow Lawn
Johnny no shoes
10/23/2015
10/23/2015
5
10/30/2015
10/23/2015
6
3
Clean House
Marcus rucus
10/26/2015
10/26/2015
7
11/19/2015
10/26/2015