Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?
131556
If x is the time it will take, then\n\n4x + 2x + 4x/3 = 20\n\nSolve for x and get 2.73 minutes.\n\nThe answers below are more complete.  They've pointed out that in real-world time, it would take 3 mins because you can't serve half a drink.
211063
The waitress calculation is wrong...\n\nYou me and Sally gave the waitress $10 each for a total of $30.\n\nThe waitress gave back $5\n\nWe gave the waitress back $2.\n\nTherefore, the waitress has $30 - $5 + $2 = $27
473855
let the amount of pizzas equal x\nron makes x/30 pizzas per minute and jess makes x/40 pizzas per minute \ntogether they make:    x/40+x/30 pizzas per minute\n                                   =7x/120 pizzas per minute\ntherefore to make x pizzas they will take 17.14 (=120/7) minutes\nThey make 7 times the amount needed in 120 minutes therefore we must divide the 120 by 7.
503907
This type of problem is solved by finding the fraction of the job each, then both, can do in an hour.  If t = the hours for the faster person, she can do 1/t of the job in an hour, the slower can do 1/(t+2) of the job, and together they do 1/5 of the job in an hour.\n\nSo 1/t + 1/(t+2) = 1/5
559070
Hi brainy, \n\nWell if he drinks at the same rate with her as he does by himself (doubtful lol) then he drinks 14/20 of the barrel in 14 days and she drinks 6/20 of the barrel in 14 days. So it will take 14*20/6 = 46 2/3 days for his boozing wife to finish a barrel by herself. A beer sounds good about now.
285353
no. A has a student that takes 9 hours, B has a student that takes 9 hours. and 16 students took exactly 9 hours
638603
if the question is how long would it take both? then the answer is 2.4 hrs.  \n\nx= number of hours worked\n\n(x/4) + (x/6) = 1\n\nsolve for x, least common denominator is 12\n\nso\n\n(3x/12) +(2x/12) = 1\n\n5x = 12\n\nx=12/5 = 2.4\n\n.4X60 = 24 mins\n\n2 hrs 24 mins
627493
Looks like Vino and Ted oaint 1/20-th of a room /hours when working alone, now let's figure out how much time Julian takes:\n 11(J+1/20)=1\nJ=1/11-1/20=9/220\n\nNow we can go get the answer:\nH(1/20+1/20+9/220)=31\nH*31/220=31\nH=220 hours
67829
As some of you noted, there are three cases to consider:\nGirls shake with Girls\nBoys shake with Girls\nBoys shake with Boys\n\nNotice the boys with boys shakes are 0, noted in the original question.  \n\nGirls shake with Girls:\nWell, each girl shakes with 49 other girls.  So 50*49 right?  Whats the problem?  if A shakes with B, then B must have shook with A also.  So each shake is counted twice.  Hence we need to divide the answer by two.  50*49/2 is your answer.\n\nBoys with Girls\nWe use the same technique.  Each girl shakes with 50 boys.  Thats 50 * 50.  But each shake is counted exactly once because we are only counting the girls side of things.\n\nThe final answer is:\n\n25*49 + 50*50 = 3725
153796
M = Martina's distance from home at time t, in hour.\nM = 24t\n\nJ = John's distance from home at time t, in hour.\nJ = 48(t - 2) \n\nWhy (t - 2)? because, John started 2 hours later.\n\nThus, when " john catch up with Martina" means that their distance from home is equal. Thus, \n\n24t = 48(t - 2)\n  t = 2t - 4\nor t = 4.\n\nThis means 4 hours from the time Martina's leaves home, John, would have caught up with her. The time is just 4 hours after 9 am, i.e, 1 pm.\n\nRegards
622052
A=1000 +.05*t\nB=1500+d*t\nday^-1 cancels with the unit of time days\n3(1000+.05*t)=1500+d*t\n3000+.15*t=1500+d*t\n3000-1500=d*t-.15*t\n1500=d*t-.15*t\n1500=(d-.15)t\n1500/(d-.15)=t\nt is how long it well take.\nIf d is equal to or less then .15 culture B well never have 3 times as many cells as A.
460998
***************\nQUESTION 1\n***************\nOn the first question, we first have to find the equation that we will be solving for.  \n\nAssume that x is one integer.\nWe know that x+1 is the other integer because they are consecutive.\n\nSo we now put the wording into an equation\n1/3(x + (x+1)) = x - 5\n\nNow we solve the equation\n1/3(2x + 1) = x - 5\n2/3x + 1/3 = x - 5\n16/3 = 1/3x\n16 = x\n17 = x + 1\n\nOur two integers are 16 and 17.\n\nNow we check our answer.\n1/3 of 33 = 11 & 16 - 5 = 11 We are good! :)\n\n\n***************\nQUESTION 2\n***************\nEvery hour, Amy and Randy together walked 3.6 + 4.2 km apart from each other.\n\n3.6 + 4.2 = 7.8\n\nSo, every hour they will be 7.8 more km apart from each other.  We only want 10 minutes though, and there are 60 minutes in an hour. To get how far apart they will be in 10 minutes, we take:\n7.8 * 10/60 = 1.3\n\nRandy and Amy will be 1.3 km apart after 10 minutes.\n\nWe are done! :)
44686
Sam takes 4 days to complete the job\nTherefore,in one day he completes 1/4 of the job\nSimilarly,Lisa completes 1/6 in a day and Tom 1/2 in a day.\nTherefore,in one day they all together complete\n1/4 + 1/6 + 1/2\nwhich equals (3+2+6)/12 = 11/12 of the work in one day\nTherefore together they take (1)/(11/12) days= 12/11 days
439200
Tom baked 4 batches of fairy cakes. Each batch consisted of x cakes. He put 3 cherries on top of each cake in the first batch, but couldn't resist taking off and eating 5 of them. He did the same again with the second batch, then the third, then the fourth! Meanwhile, Sarah baked 5 batches of fairy cakes, again with x cakes in each batch. She put 2 cherries on each cake and an extra two on the final one. She repeated this procedure with each of the batches. She managed to resist eating any at all! Tom and Sarah discovered that Tom's cakes had exactly the same number of cherries in total as Sarah's. Set up an equation for this.\n\nThen: \n\nNumber of cherries on Tom's cakes = 4(3x-5)\nNumber of cherries on Sarah's cakes=5(2x+4)\n\nBut number of cherries is equal so:\n\n4(3x-5)=5(2x+4)\n\nPhew!! I think that works!! Lol!
93094
Actually I had something to help you but x=0 which makes it pretty difficult.\n\nI guess you could try to talk about tomatoes or something.  Say Tom (X) has 1/2 the amount of tomatoes that Jill has, plus four.  Or in other words, if you take Jill's amount of tomatoes, multiply it by two, and take Tom's amount and multiply it by three, there total amount of tomatoes will equal 12.  How many tomatoes does Jill have?  How many does Tom have?
62598
A babysitter came over one day to babysit 10 children. She decided to give them a snack. In a jar there were 10 cookies. She wants to give each one a cookie, but still keep one in the jar. How will she do it? (WITHOUT BREAKING ANY COOKIES-EACH CHILD HAS TO GET A WHOLE!)
232816
For the slower machine, it would take 3 times the length of time, 8*3=24min\n\nFor the faster machine, it would take 1.5 times, 8*1.5=12min