SOLUTION: 1. X takes 2 hours to pack 200 boxes of oranges, and Y takes 3 hours to pack 150 boxes of oranges. How long will they take, working together, to pack 1800 boxes of oranges?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 1. X takes 2 hours to pack 200 boxes of oranges, and Y takes 3 hours to pack 150 boxes of oranges. How long will they take, working together, to pack 1800 boxes of oranges?      Log On


   

Question 1049326: 1. X takes 2 hours to pack 200 boxes of oranges, and Y takes 3 hours to pack 150 boxes of oranges. How long will they take, working together, to pack 1800 boxes of oranges?
Found 3 solutions by josgarithmetic, hussamuddin, advanced_Learner:
Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the rates as BOXES%2FHOUR is .

Basic constant rate rule R*h=W to relate rate, time in hours, work. The unknown time is h for your example.
system%28R=225%2CW=1800%2Aboxes%2Ch=unknownTimeHours%29

Answer by hussamuddin(51) About Me  (Show Source):
You can put this solution on YOUR website!
X takes 2 hours to pack 200 boxes of oranges, so he will take 2%2F2=1 hour to pack 200%2F2=100 boxes of oranges.
Y takes 3 hours to pack 150 boxes of oranges,so he will take 3%2F3=1 hour to pack
If they work together they will take (1x12=12) hour to pack a total of (150x12=1800) boxes of oranges.

Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
working together
2/200+3/150=225 B/Hour
1800/225=8 Hours