Greg is 1.7 times faster at cleaning windows than Owen. It takes 39 minutes for them to clean 100 windows together. Using a rational equation, calculate how long it would take Owen to clean 100 windows by himself. Round the answer to the nearest tenth. (1 point)

Answer 1

Let Owen's speed of cleaning windows be x windows per minute.
Then Greg's speed of cleaning windows is 1.7x windows per minute.
Thus, Owen and Greg together can clean:
x + 1.7x = 2.7x windows per minute.
So 2.7x = 100 windows per 39 minutes.
Dividing both sides by 2.7, we get:
x = 100/2.7 windows per 39 minutes.
To find how long it would take Owen to clean 100 windows by himself, we can set up the equation:
100 = x * t,
where t is the time it takes for Owen to clean 100 windows.
Rearranging the equation, we get:
t = 100/x.
Substituting in the value of x that we found earlier, we get:
t = 100 / (100/2.7) = 2.7.
So it would take Owen approximately 2.7 minutes to clean 100 windows by himself.