Let us assume Ivan worked = x hours.
Jill worked 2 more hours than Ivan.
Therefore, jill worked = x +2 hours.
Susie worked three times as many hours as Jill.
Therefore, Susie woked 3 times of number of hours of Jill = 3(x+2).
Total number of hours they worked together = 48 hours.
Number of hours Ivan worked + Number of hours Jill worked + Number of hours Susie worked = 48.
Therefore,
x+ x+2 + 3(x+2) =48.
Distributing 3 over (x+2), we get 3x +6.
Therefore,
x+ x+2 + 3(x+2) =48
=> x+x+2+3x+2 = 48.
Combining like terms, we get
5x + 4 = 48.
Subtracting 4 from both sides, we get
5x + 4-4 = 48-4.
5x = 44.
Dividing both sides by 5, we get
x= 44/5 hours or 8 4/5 hours.
Therefore, Ivan worked = 8 4/5 hours.
Jill worked = x +2 hours = 8 4/5 hours + 3 = 11 4/5 hours.
Susie woked = 3 (x+2) = 3 (44/5 +2 ) = 3(54/5) = 162/5 hours or 32 2/5 hours.
