SOLUTION: A farmer can plow the field in 8 days. After working 3 days, his son joins him and together they plow the field in 3 more days. How many days will it require for the son to plow th
Algebra ->
Rate-of-work-word-problems
-> SOLUTION: A farmer can plow the field in 8 days. After working 3 days, his son joins him and together they plow the field in 3 more days. How many days will it require for the son to plow th
Log On
Question 658837: A farmer can plow the field in 8 days. After working 3 days, his son joins him and together they plow the field in 3 more days. How many days will it require for the son to plow the field alone? Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! A farmer can plow the field in 8 days. After working 3 days, his son joins him and together they plow the field in 3 more days. How many days will it require for the son to plow the field alone?
.
Let x = days for son to plow alone
then
3(1/8) + 3(1/x + 1/8) = 1
3/8 + 3/x + 3/8 = 1
multiply both sides by 8x:
3x + 24 + 3x = 8x
6x + 24 = 8x
24 = 2x
12 days = x (answer)
