Hey guys, I'm wondering if the following equation is a legit way of solving the following question. Here it comes:
A farmer harvested 5/8 of the field's crops and his son harvested 1/6 of the crops. The farmer harvests the remaindering crops by himself in 1 hour and 50 minutes. How long would it take for the farmer to harvest the entire field by himself?
X=Unknown/Answer
Z=Amount of crops farmed
X/4,8=(1-5/8+1/6)*Z=110
etc. etc.
X=5/24*Z*4,8=110*4,8
X=Z=528
X=528 Minutes
What I'm mainly concerned about is whether it's acceptable to have the Z there just as an indicator of what the fractions refer to, its value is hence always the same as the number it's multiplied with.
+206 Wow, this is very complicated. Please help Melody <http://web2.0calc.com/members/Melody/> or CPhill <http://web2.0calc.com/members/CPhill/>.
A farmer harvested 5/8 of the field's crops and his son harvested 1/6 of the crops. The farmer harvests the remaindering crops by himself in 1 hour and 50 minutes. How long would it take for the farmer to harvest the entire field by himself?
5/8 + 1/6 =19/24 portion of harvest done by both men
1 - 19/24 =5/24 portion of harvest done by farmer himself in 1 hour and 50 minutes =1.8333 hours.
Therefore, the farmer could do the entire harvest by himself in:
24/5 x 1.83333=8.8 hours, or 8 hours and 48 minutes, or 528 minutes(which you got right.)
P.S. You Just need one variable X for the time rquired to harvest the entire field by himself.
+36919 I think you are overthinking it:
Amount harvested by farmer and son = 5/8 + 1/6 = 19/24 so 5/24 left
110 minutes / ( 5/24 ) = x min / (24/24)
110 x 24/5 = 528 minutes to do it all alone.
