Answer: 46.8 hours.
Step-by-step explanation:
This question is about work problem which deals with knowing the time at which a person or individual completes a task. From the question, we are given that Latisha can write the program by herself in 32 hours and the time for Ricky to write the program alone is unknown. Both can write a particular computer program in 19 hours. So, we will be using the formula below;
(Rate per hour of Ricky × total time) + (Rate per hour of Latisha × total time) = 1.
So, let us say that the time for Ricky to write the program alone = b.
Then,
(1/b) × 19 + (1/32) × 19 = 1.
Therefore, solving that we have;
19/b = 13/32.
b= 46.8.
Therefore, the time for Ricky to write the program alone = 46.8 hours