a team of miners planned to mine 1800 tons of ore during a certain number of days. due to technical difficulties in one-third of the planned number of days, the team was able to achieve an output of 20 tons of ore less than tha planned output. to make up for this, the team overachieved for the rest of the days by 20 tons. the end result was that the team completed the task one day ahead of time. hoe many tons of ore did the team initially plan to ore per day?

• Let the number of days scheduled for the 1800 ton task be 3x.
  Task planned to be done per day=1800/3x=600/x
  
  Task done in 1/3rd of planned days=
  (600/x - 20)*x
  Task done in the rest 2/3rd of days minus 1 day= (600/x + 20)*(2x-1)
  
  »(600/x -20)x + (600/x + 20)(2x-1)=1800
  »xsqr - x - 30 = 0
  »x=6
  
  Task scheduled to be done per day=600/x=100tons
• 8 years agoHelpfull: Yes(7) No(2)