Question

Zeno takes 3 hr longer to paint a floor than it takes Lia. When they work together, it takes them 2 hr. How long would each take to do the job alone?

Looking for how to do it.... PLEASE HELP <3

Answer 1

Okay so listen up:

Zeno=Z
Lia=L

We know Zeno takes three hours longer than Lia.
This is expressed as Z=3L

We know that together, they take 2 hours.
This is expressed as Z+L=2

Now we have two equations. We will use substitution. Substitute "3L" for Z in the second equation
3L+L=2
Next solve for L
4L=2
4L/4=2/4
L=1/2
Now that we know the value of L, substitute it into the first equation to get Z.
Z=3(1/2)
Solve for Z
Z=1 and 1/2
To check, substitute these answers back into the second equation.
1/2 + 1 and 1/2=2
2=2 ✔️
ANSWER:
Zeno takes 1 and 1/2 hours
Lia takes 1/2 hour