Denise can ride her bike 12 mph in calm water. It takes her as long to ride 75 miles with the wind as it take her 45 miles against the wind. What is the speed of the wind

The correct answer is 3 miles per hour.

Step-by-step explanation:

Let the speed of the wind be x miles per hour.

Speed of Denise in her bike is 12 miles per hour.

Time taken to travel 75 miles by Denise to bike with the wind is .

Time taken to travel 45 miles by Denise to bike against the wind is .

These time is given to be same.

∴ 75 × (12 - x) = 45 × (12 + x)

⇒ 900 - 75x = 540 + 45x

⇒ 360 = 120x

⇒ x = 3

Thus the speed of the wind is 3 miles per hour.

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

good luck on your studies! : )

david edward.