Acheetah is running 90 feet per second and is 120 feet behind its prey which is running 60 feet per minute. how long will it take the cheetah to catch up?

It will take 4 seconds for cheetah to catch up

Explanation:

Speed of cheetah= S1=90ft/s

Speed of the prey=S2=60ft/s

Distance between the cheetah and prey = d=120ft

Hence forming a linear equation,

Using the formula

Relative Speed=

Relative= Distance

Therefore,

Suppose t is the time  

Putting the values

(90-60)t=120

t=

t=4 seconds

Hence it will take 4 seconds for cheetah to catch up

A rectangular garden must have an area of 64 square feet then the minimum perimeter of the garden is 32 feet and this can be determined by using the formula of the perimeter of a rectangle.

Given :

A rectangular garden must have an area of 64 square feet.

The area of a rectangle is given by:

where 'l' is the length of the rectangle and 'w' is the width of the rectangle.

Given that area of the rectangular garden is 64 square feet that is:

64 = lw

  ---- (1)

Now the perimeter of a rectangle is given by:

P = 2(l + w)

Put the value of w in the above equation.

  ---- (2)

For minimum perimeter differentiate the above equation with respect to the length of the garden.

Now, equate the above equation to zero.

Now put the value of l in equation (2).

P = 32 feet.

A rectangular garden must have an area of 64 square feet then the minimum perimeter of the garden is 32 feet.

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