Question

Dominique can ice cupcakes twice as fast as Houston. When they work together, Dominique and Houston can ice a large order of cupcakes in 5 hours. How many hours would it take Houston to ice them by himself?
1
4
thirteen-halves
fifteen-halves

Answer 1

This is a work problem. It can be solved as follows:

Houston = 1/x
Dominique = (1/2x)
Together = 1/5

Then, we add Houston and Dominique:

1/x + 1/2x = 1/5

Solve for x,

x = 2/15

Therefore, it would take 15/2 hours for Houston to ice by himself, the last option.

Answer 2

Answer: 15/2

Step-by-step explanation: