226k views
2 votes
Miguel and Maria are washing the windows in their home. Together, they can complete the task in 1 hours. If Maria can wash windows twice as fast as Miguel, how many minutes would it take her to wash them by herself? In your answer, include the equation you used to solve the problem.

User Iembry
by
5.6k points

2 Answers

2 votes

Let's correct what the person above said. 1 and a half hour = 90 minutes.

x: amount of time Miguel uses to complete the task.

y: amount of time Maria uses to complete the task.

We write the system of equations:

x + y = 90

y = (1/2) x

Solving the system we have:

x = 60 minutes

y = 30 minutes

(Verify:)

30 + 60 = 90

90 = 90 (correct)

Answer:

it take her to wash them by herself about:

y = 30 minutes

User Mnsalim
by
4.9k points
6 votes
For this case, the first thing we must do is define variables.
x: amount of time Miguel uses to complete the task.
y: amount of time Maria uses to complete the task.
We write the system of equations:
x + y = 60
y = (1/2) x
Solving the system we have:
x = 40 minutes
y = 20 minutes
Answer:
it take her to wash them by herself about:
y = 20 minutes
User Daniel Sopel
by
5.8k points