Scenario: Yasmin and Zeek are lawyers working at V, W, and X LLP. Yasmin works 48 hours a week, and Zeek also works 48 hours a week. They handle two types of cases, intellectual property (IP) cases and corporate fraud (CF) cases. It takes Yasmin 6 hours to handle each IP case and 4 hours to handle each CF case. Zeek can finish an IP case in 3 hours and a CF case in 6 hours.
-Refer to the scenario above.Yasmin's supervisor wants her to handle equal numbers of IP and CF cases.How much time would Yasmin spend on each type of case? (Hint: Assume that she can work on a fraction of a case.)
A) 24 hours each on IP cases and CF cases
B) 28 hours and 48 minutes on IP cases, and 19 hours and 12 minutes on CF cases
C) 32 hours and 24 minutes on IP cases and 15 hours and 36 minutes on CF cases
D) 36 hours on IP cases and 12 hours on CF cases

Question

Quizplus · Accepted Answer

Let the number of IP cases Yasmin handles be x.
Then the number of CF cases she handles must also be x (as she has to handle equal numbers of both types).
The total time Yasmin spends on IP cases is 6x hours, and the total time she spends on CF cases is 4x hours.
The total time Yasmin works in a week is 48 hours, so:

6x + 4x = 48
10x = 48
x = 4.8

This means Yasmin handles 4.8 IP cases and 4.8 CF cases each week.
To find how much time Yasmin spends on each type of case, we just need to multiply the number of cases by the time it takes to handle each case.
For IP cases:
4.8 x 6 = 28.8 hours
For CF cases:
4.8 x 4 = 19.2 hours

So the answer is B, 28 hours and 48 minutes on IP cases, and 19 hours and 12 minutes on CF cases.

Scenario: Yasmin and Zeek Are Lawyers Working at V, W