Puzzle a Day!

Can someone give me the working out for the flower bed puzzle. I feel I should've been able to do that but I failed miserably. ......... no change there then

The temptation is to quickly write down the equations:

Veggie+JJB = 2
Veggie+Boss = 3
JJB+Boss = 4

Then adding them together get 2x(Veggie+Boss+JJB) = 9

so

Veggie+Boss+JJB = 4.5 which is obviously not right.

The easiest way to visualise the problem is ti divide the bed into 12 pieces ( LCM I think of 2,3 and 4).

Then:
 2hours Veggie  + 2 hours JJB do 12 units of flowerbed. The left hand side is time and right is work, could use =, but may be better -> to show that different measures.
Anyway, we can write:
2Veggie + 2JJB -> 12
3Veggie + 3Boss -> 12
4JJB = 4Boss -> 12

or

Veggie + JJB  -> 6
Veggie + Boss  -> 4
JJB + Boss  -> 3

which means that Veggie + JJB do 6 units, half the plot in an hour etc.
adding the 3 together we get
2( Veggie+Boss+JJB)  = 13 or all 3 working together for 2 hours would be able to do 13 units.

So 12 units, the actual plot size, in 2/13x12 hours or about 1hour 51minutes.

So for the time the Boss saves by helping, he might be better employed brewing up.