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# Upcat review

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### Upcat review

1. 1. WORKPROBLEMS
2. 2. 1 RATE time to finish the work If a man could finish a job in xdays, then in one day he could1 finish onlyx (rate)of the job.
3. 3.  WORK DONE = RATE X TIME If both x and y are the number of days each man work alone, then if they work together they could finish it in “t” days. 1 1 t 1 x y
4. 4. Answer: 7.095 hours A pump can pump a tank in 11 hours. Another pump can pump out the same tank in 20 hours. How long will it take both pumps together to pump out the tank?
5. 5. Answer: 12 days A laborer can finish a job in 4 days. Another laborer can finish the same job in 6 days. If both laborers plus a third laborer can finish the job in 2 days, how long will it take for the third laborer to finish the job alone?
6. 6. Answer: 6 hours A tank is filled with an intake pipe that will fill it in 4 hours and an outlet pipe that will empty it in 12 hours. If both pipes are left open, how long will it take to fill the empty tank?
7. 7. ABAnswer: A B If A can do the work in “x” days and B in “y” days, how long will they finish the job?
8. 8. Answer: 10 min. Mr. Brown can wash his car in 15 minutes, while his son John takes twice as long to do the same job. If they work together, how many minutes can they do the washing?
9. 9. Answer: 9 days It takes Butch twice as long as it takes Dan to do a certain piece of work. Working together they can do the work in 6 days. How long would it take Dan to do it alone?
10. 10. MIXTUREPROBLEMS
11. 11. PRINCIPLE: Sum of the values of the component parts of a mixture is equal to the total value of the mixture.Example: mixture of nuts(cost/kg)( # of kg of peanut)+ (cost/kg)(# of kg of cashew nuts) =(cost of the mixture/kg)(# of kg of peanut +# of kg of cashew nuts)
12. 12. Answer: 200 lbs. How many pounds of cream containing 12% butterfat must be added to 1800 lbs. of milk containing 2% butterfat to obtain a milk having 3% butterfat?
13. 13. Answer: 20 gallons Two alcohol solutions consists of a 40 gallons of 35% alcohol and other solution containing 50% alcohol. If the two solutions are combined together , they will have a mixture of 40% alcohol. How many gallons of the solutions containing 50% alcohol?
14. 14. Answer: 11 pcs of 20 peso-bill and10 pcs of 1 peso coins Leslie’s coin purse contains 20 peso-bills and 1 peso coins totaling to 230 pesos. How many of each denomination are in her coin purse if she has 21 pieces in all?
15. 15. Answers: peanuts=20 andcorn=100 Peanuts are sold for 80 pesos per kilogram and corn for 32 pesos per kilogram. How many kilograms of each should be mixed to form 120 kg of a mixture than can be sold for 40 pesos per kilogram?
16. 16. MOTIONPROBLEMSD=RxT