An experienced roofer can work twice as fast as her helper. working together, they can shingle a new section of roof in 4 hours. how long would it take the expe
Mathematics
kiwi7443
Question
An experienced roofer can work twice as fast as her helper. working together, they can shingle a new section of roof in 4 hours. how long would it take the experienced roofer, working alone, to complete the same job?
1 Answer

1. User Answers carlosego
For this case, the first thing we must do is define variables.
We have then:
x: amount of time the assistant works
Y: amount of time the experienced person works
We then have the following system of equations:
x + y = 4
y = (1/2) x
Solving the system we have:
x = 8/3
y = 4/3
Answer:
It would take the roofer, working alone, to complete the same job about:
y = 4/3 hours