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| Question 40214:  Company X can install chairs in a theater in 10 hours. Company Y can install them in 15 hours. How long would it take the two companies, working together to install the chairs.
 ______hours.
 Thanx
 Answer by venugopalramana(3286)
      (Show Source): 
You can put this solution on YOUR website! SEE THE FOLLOWING EXAMPLES AND TRY.IF STILL IN DIFFICULTY PLEASE COME BACK -----------------------------------------------------------------
 Mixture_Word_Problems/30424: Dennis can eat a pie in 6 min. David can eat a pie in 12 min. Robert can eat a pie in 14.639145073927682623334797247841 min. If they share the same pie, how lomg will it take the three guys to scarf down the whole thing. (Hint: First figure out how many pies each guy can eat in an hour)
 1 solutions
 Answer 17065 by venugopalramana(1167) About Me  on 2006-03-15 22:41:46 (Show Source):
 Dennis can eat a pie in 6 min. David can eat a pie in 12 min. Robert can eat a pie in 14.639145073927682623334797247841 min. If they share the same pie, how lomg will it take the three guys to scarf down the whole thing. (Hint: First figure out how many pies each guy can eat in an hour)
 DENIS CAN EAT IN 1 MINUTE....1/6 =0.166666667 PIE
 DAVID CAN EAT IN 1 MINUTE....1/12 =0.083333333 PIE
 ROBERT CAN EAT IN 1 MINUTE...1/14.63914507=0.06831 PIE
 HENCE THE 3 TOGETHER CAN EAT IB 1 MINUTE=0.31831 PIE
 HENCE THEY TAKE ...1/0.31831 = 3.14159153 MINUTES TO EAT THE PIE.
 Rate-of-work-word-problems/29587: need help plz...heres the question "There are three friends named Allan, Bobby and Charlie. The three friends want to know their individual rate in finishing a job. Allan and Bobby can finish the job in 42 days, Bobby and Charlie can finish the job in 31 days, and Allan and Charlie can finish the job in 20 days. Solve the rate of each individual."
 1 solutions
 Answer 16715 by venugopalramana(1167) About Me  on 2006-03-12 11:04:12 (Show Source):
 need help plz...heres the question "There are three friends named Allan, Bobby and Charlie. The three friends want to know their individual rate in finishing a job. Allan and Bobby can finish the job in 42 days, Bobby and Charlie can finish the job in 31 days, and Allan and Charlie can finish the job in 20 days. Solve the rate of each individual."
 LET ALLAN TAKE A DAYS TO DO THE JOB ALONE
 HENCE ALLAN ALONE CAN DO IN 1 DAY 1/A JOB
 LET BOBBY TAKE B DAYS TO DO THE JOB ALONE
 HENCE BOBBY ALONE CAN DO IN 1 DAY 1/B JOB
 LET CHARLIE TAKE C DAYS TO DO THE JOB ALONE
 HENCE CHARLIE ALONE CAN DO IN 1 DAY 1/C JOB
 FROM ABOVE WE GET ...
 ALLAN AND BOBBY CAN DO IN 1 DAY ..1/A +1/B =(A+B)/AB JOB..
 SO DAYS THEY TAKE TO COMPLETE THE JOB =AB/(A+B)=42..OR..1/A+1/B=1/42..........I BOBBY AND CHARLIE CAN DO IN 1 DAY ..1/B +1/C =(B+C)/BC JOB..
 SO DAYS THEY TAKE TO COMPLETE THE JOB =BC/(B+C)=31..OR..1/B+1/C=1/31.........II
 ALLAN AND CHARLIE CAN DO IN 1 DAY ..1/A +1/C =(A+C)/AC JOB..
 SO DAYS THEY TAKE TO COMPLETE THE JOB =AC/(A+C)=20..OR..1/A+1/C=1/20........III
 EQNI+EQNII+EQNIII GIVES...
 2{(1/A)+(1/B)+(1/C)}=(1/42)+(1/31)+(1/20)
 (1/A)+(1/B)+(1/C)=(1/2)*{(1/42)+(1/31)+(1/20)}.........IV
 EQN.IV-EQN.I GIVES
 1/C= (1/2)*{(1/42)+(1/31)+(1/20)}-1/42....OR.....C=34.2 DAYS
 EQN.IV-EQN.II GIVES.......
 1/A=(1/2)*{(1/42)+(1/31)+(1/20)}- 1/31...OR......A=48.1 DAYS
 EQN.IV-EQN.III GIVES....
 1/B=(1/2)*{(1/42)+(1/31)+(1/20)}- 1/20....OR.....B=329.6 DAYS
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 Pipe A can fill a tank in
 8 hours. When pipe A and pipe B are used, the tank is
 filled in 5 hours. How long, in hours, would it take
 pipe B alone to fill the tank?
 This is not from a book; it is from a handout.
 Thank you for any help. I appreciate it.
 1 solutions
 Answer 22576 by venugopalramana(1834) About Me  on
 2006-05-08 05:18:51 (Show Source):
 SEE THE FOLLOWING EXAMPLE AND TRY
 Could you please help me
 with this word problem. I'm really having a hard time
 with it: Pipes A and B can fill a storage tank in 8
 hours and 12 hours. With the tank empty, pipe A was
 turned on at noon, and then pipe B was turned on at
 1:30 P.M. At what time was the tank full?
 Thank you.
 1 solutions
 Answer 13931 by venugopalramana(1619) About Me on
 2006-01-30 05:52:42 (Show Source):
 Pipes A and B can fill a storage tank in 8 hours and
 12 hours.
 THAT IS PIPE A CAN FILL IN 1 HR.1/8 TANK AND
 PIPE B CAN FILL IN 1 HOUR 1/12 TANK
 With the tank empty, pipe A was turned on at noon, and
 then pipe B was turned on at 1:30 P.M.
 HENCE IN 1=30 PM - 12 = 00 NOON =1.5 HRS PIPE A FILLS
 1.5*1/8 TANK=1.5/8 TANK
 REST TO BE FILLED =1-1.5/8=6.5/8 TANK
 WHEN A AND B ARE OPEN IN 1 HOUR THEY FILL 1/8 +1/12
 TANK = 5/24 TANK
 HENCE TO FILL 6.5/8 TANK THEY NEED
 {(6.5/8)/(5/24)}=(24*6.5)/(8*5)=3.9 HRS.=3 HRS 54 MTS
 HENCE THE TANK WILL BE FULL AT
 1=30.....+.....3=54.......5=24 PM
 At what time was the tank full?
 The inlet pipe of an oil tank can fill the
 tank in 1 hour, 30 minutes. The outlet pipe can empty
 the tank in 1 hour. How long does it take to empty the
 tank if both pipes are open?inlet pipe fills 1 tank in
 1hr 30 mts =1.5=3/2 hrs.or inlet pipe fills
 ...1/(3/2)=2/3 tank in 1 hr.out let pipe empties 1
 tank in 1 hr....so assuming the tank is full at the
 start water to be emptied =1 tank and in 1 hr inlet
 fills 2/3 tank and out let empties 1 tank ..so net out
 flow is 1-2/3=(3-2)/3=1/3 tank in 1 hour.so 1/3 tank
 emptying needs .....1 hr then 1 tank emptying needs
 ......? hrs...= 1*1/(1/3)=3 hrs.
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