SOLUTION: A farmer can plow a field in 4 days by using a tractor. A hired hand can plow the same field in 6 days by using a smaller tractor. How many days will be required for the plowing if

Question 221039: A farmer can plow a field in 4 days by using a tractor. A hired hand can plow the same field in 6 days by using a smaller tractor. How many days will be required for the plowing if they work together?
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
if X is their combined time, then the FRACTION that the farmer plows is X/4
___ and the FRACTION that the hired hand plows is X/6
___ the FRACTIONS add to 1 (the WHOLE field)

X/4 + X/6 = 1

multiplying by 12 (LCD) ___ 3X + 2X = 12 ___ 5X = 12 ___ X = 12/5 = 2.4 days
RELATED QUESTIONS
A farmer can plow a field in 4 days by using a tractor. A hired hand can plow the same... (answered by josgarithmetic,szk17)

A farmer can plow a field in 4 days by using a tractor. His hired hand can plow the same... (answered by stanbon)

I need help with this please; If a farmer uses a large tractor, she can plow a field... (answered by richwmiller)

A farmer can plow a field in 12 hours by using one tractor. His son, using a different... (answered by rfadrogane,richwmiller)

A farmer can plow his field by himself in 15 days. If his son helps, they can do it in 6... (answered by dkppathak)

- One tractor can plow a field in 8 hours and another in 10 hours. In how many hours can... (answered by richwmiller)

One tractor can plow a field in 8 hours, and another in 10 hours. In how many hours can... (answered by jim_thompson5910)

A farmer can plow the field in 8 days. After working 3 days, his son joins him and... (answered by nerdybill)

A farmer can plow 2/3 of a hectare in 1hr. At this rate, in how many hours will 5 farmers (answered by harpazo)