Working together, Abe and Bianca cleaned their yard in 6 hours. Last year, Abe cleaned the yard by himself. The year before, Bianca cleaned it by herself, but took 5 hours less than Abe took. How long did Bianca take for cleaning the yard alone?

10 hours

Step-by-step explanation:

Given that time taken to clean the garden by Abe and Bianca together = 6 hours.

So, in 1 hour both can clean 1/6 of the garden.

Let Abe can clean the garden in x hours, as Bianca took 5 hours less than Abe took, time taken by Bianca alone to clean the garden = x-5 hours.

Therefore, in 1 hour Abe can clean 1/x portion of the garden while Bianca can clean 1/(x-5) portion of the garden.

Together, Abe and Biana can clean \frac 1 x + \frac {1}{x-5} portion of garden in 1 hour.

As both can clean 1/6 portion of the garden in 1 hour together, so

Now, if x=2, then the time taken by Bianca x-5 = 2-5=-3 hours (negative) which is not possible.

For x= 15, time taken by Bianca = x=5=15-5=10 hours.

Hence, the time taken by Bianca alone to clean the garden is 10 hours.

what golf ball

step-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet