Bunuel
Bob and Darren are interns in a hospital. Bob spends 40 percent of his hours per week in the pediatrics ward and 30 percent of the remainder of his hours in the lab. Darren spends 20 percent of his hours per week in the pediatrics ward and 10 percent of the remainder of his hours in the lab. How many hours does Darren work per week?
(1) Bob works 20 hours per week in the pediatrics ward.
(2) Darren works 8 hours per week in the lab.
Bob and Darren are interns in the hospital.
We need to find the number of hours per week of Darren = 100D = ?
Lets assume the number of working hours per week for Bob and Darren as 100B and 100D respectively.
Given that:
Bob spends 40 percent of his hours per week in the pediatrics ward and 30 percent of the remainder of his hours in the lab.
Paediatric ward = 40%*(100B) = 40B
Remaining hours = 100B - 40B = 60B
Lab hours = 30% * (60B) = 18B
Darren spends 20 percent of his hours per week in the pediatrics ward and 10 percent of the remainder of his hours in the lab.
Darren hours = 100D
Paediatric ward = 20%*(100D) = 20D
Remaining = 100D - 20D = 80D
Lab hours = 10%*(80D) = 8D
Statement 1:
(1) Bob works 20 hours per week in the pediatrics ward.
This speaks about Bobs hours, no where in the question is a relationship between Bob and Darren exists.
Hence,
Insufficient. Statement 2:
(2) Darren works 8 hours per week in the lab.
The statement mentions 8D = 8 hours.
thus, D = 1
Therefore, 100D = 100 hours.
Hence,
Sufficient
Option B