Bubba can mow a field in 8 hours. If Skeeter helps, 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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20-04-2016
Mathematics

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Bubba can mow a field in 8 hours. If Skeeter helps, 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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AL2006 AL2006 · Answer 1 · 2016-04-20T04:54:40+02:00

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!