Mathematics, 21.08.2019 19:30 treseanthegreat

Bubba can mow a field in 8 hours. if skeeter , they both can do it together in 3 hours. how long would it take skeeter to mow the field by himself?

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When they work together, they do 1/3 of the job in one hour.

   (Bubba) + (Skeeter) = 1/3 job/hour

Subtract 'Bubba'
from each side:     Skeeter = (1/3 job/hour) - (Bubba)

Bubba, working alone, does 1/8 of the job in one hour.

      Skeeter = (1/3 job/hour) - (1/8 job/hour)

Can you subtract 1/8 from 1/3 ?

Before you can subtract, you'll need a common denominator.
I've got a nice one here . . . 24 .

   1/3 = 8/24
   1/8 = 3/24

   Skeeter = (1/3 job/hour) - (1/8 job/hour)

      = (8/24 job/hour) - (3/24 job/hour)

=    5/24 job/hour .

Skeeter mows at the rate of 5/24 field/hour.

The other way to look at that is: 24/5 hour/field = 4.8 hours .

Check:

   Bubba:   1/8     field per hour = 0.125
   Skeeter: 1/4.8 field per hour = 0.208333...

   Together: (0.125 + 0.208333)

   = 0.333... field per hour

   = 3 hours/field . yay!

Answer from: Quest

answer: $\frac{sin40^{\circ}}{x} = \frac{sin60^{\circ}}{12}$

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

$\frac{sin40^{\circ}}{x} = \frac{sin60^{\circ}}{12}$

which is the required equation for finding the value of x,

$\frac{x}{sin40^{\circ}}= \frac{12}{sin60^{\circ}}$

$x= 12\times \frac{sin40^{\circ}}{sin60^{\circ}}$

$x= 12\times 0.74222719896$

$x= 8.90672638762\approx 8.967$

Answer from: Quest

Yeah she/ he needs look how long that is man

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Bubba can mow a field in 8 hours. if skeeter , they both can do it together in 3 hours. how long wou...