SOLUTION: A farmer can plow a field in 9 hours, and his son can do it in 18 hours. After the farmer had plowed it for 3 hours, the boy joined him and together they completed the plowing of

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A farmer can plow a field in 9 hours, and his son can do it in 18 hours. After the farmer had plowed it for 3 hours, the boy joined him and together they completed the plowing of       Log On


   



Question 846551: A farmer can plow a field in 9 hours, and his son can do it in 18 hours. After the farmer had plowed it for 3 hours, the boy joined him and together they completed the plowing of the field. How long did it take them?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
farmer had plowed it for 3 hours, the boy joined him ... 23 of work left
Will take each 23 of the time
%282%2F3%299+=+6 and %282%2F3%2918+=+12
+1%2F6+%2B+1%2F12+=+1%2Fx |Multiplying thru by 12x so as all denominators = 1
2x + x = 12
3x = 12
x = 4hrs