Answer:
54 hours
Explanation:
To find out how long it will take Latisha to write the program alone, we can set up a system of equations based on the given information.
Let's say Ricky takes x hours to write the program. Since Latisha takes twice as long as Ricky, we can say that Latisha takes 2x hours to write the program.
According to the problem, when they work together, they can write the program in 18 hours. So, their combined work rate is 1/18 of the program per hour.
Using the work rate formula, we can set up the equation:
1/x + 1/(2x) = 1/18
To solve for x, we can multiply both sides of the equation by 18x:
18 + 9 = x
Simplifying, we get:
27 = x
Therefore, Ricky takes 27 hours to write the program alone. Since Latisha takes twice as long, she takes 2 * 27 = 54 hours to write the program alone.
(hope this helped)