GILLESANIA

C. 12 hours

Problem 170: Peter and Paul can do a certain job in 3 hours. On a given day, they work together for 1 hour then Paul left and Peter finishes the rest work in 8 more hours. How long will it take for Peter to do the job alone? A. 10 hours B. 11 hours C. 12 hours D. 13 hours

B. Silver = 3.75 oz.; Gold = 11.25 oz.

Problem 163: An alloy of silver and gold weighs 15 oz. in air and 14 oz. in water. Assuming that silver losses 1/10 of its weight in water and gold losses 1/18 of its weight, how many oz. at each metal are in the alloy? A. Silver = 4.5 oz.; Gold = 10.5 oz. B. Silver = 3.75 oz.; Gold = 11.25 oz. C. Silver = 5 oz.; Gold = 10 oz. D. Silver = 7.8 oz.; Gold = 4.2 oz.

C. 3

Problem 167: A swimming pool is filled through its inlet pipe and then emptied through its outlet pipe in a total of 8 hours. If water enters through its inlet and simultaneously allowed to leave through its outlet, the pool is filled in 7 ½ hours. Find how long will it take to fill the pool with the outlet closed. A. 6 B. 2 C. 3 D. 5

A. ¾

Problem 168: Three persons can do a piece of work alone in 3 hours, 4 hours and 6 hours respectively. What fraction of the job can they finish in one hour working together? A. ¾ B. 4/3 C. ½ D. 2/3

D. 500kg

Problem 158: Two thousand kilogram of steel containing 8% of nickel is to be made by mixing stell containing 14% nickel with another steel containing 6% nickel. How much of the steel containing 14% nickel is needed? A. 1500 kg B. 800 kg C. 750 kg D. 500kg

A. 40%

Problem 159: A 40-gram alloy containing 35% gold is to be melted with a 20-gram alloy containing 50% gold. How much percentage of gold is the resulting alloy? A. 40% B. 30% C. 45% D. 35%

D. 20 hours

Problem 169: A father and his son can dig a well if the father works 6 hours and his son works 12 hours or they can do it if the father works 9 hours and son works 8 hours. How long will it take for the son to dig the well alone? A. 5 hours B. 10 hours C. 15 hours D. 20 hours

B. 1.125hrs

Problem 173: A pipe can fill up a tank with the drain open in three hours. If the pipe runs with the drain open for one hour and then the drain is closed it will take 45 more minutes for the pipe to fill the tank. If the drain will be closed right at the start of filling, how long will it take for the pipe to fill the tank? A. 1.15hrs. B. 1.125hrs C. 1.325hrs. D. 1.525hrs.

D. 1.923 hours

Problem 174: Delia can finish a job in 8 hours. Daisy can do it in 5 hours. If Delia worked for 3 hours and then Daisy was asked to help her finish it, how long will Daisy have to work with Delia to finish the job? A. 2/5 hours B. 25/14 hours C. 28 hours D. 1.923 hours

D. 20.56

Problem 175 (CE November 1998): A job could be done by eleven workers in 15 days. Five workers started the job. They were reinforced with four more workers at the beginning of the 6th day. Find the total number of days it took them to finish the job. A. 22.36 B. 21.42 C. 23.22 D. 20.56

A. 18.9

Problem 177 (EE April 1996): A and B can do a piece of work in 42 days, B and C in 31 days, and A and C in 20 days. Working together, how many days can all of them finish the work? A. 18.9 B. 19.4 C. 17.8 D. 20.9

C. 2:3

Problem 160: In what radio must a peanut costing P240.00 per kg. be mixed with a peanut costing P340.00 per kg so that the profit of 20% is made by selling the mixture at 360.00 per kg? A. 1:2 B. 3:2 C. 2:3 D. 3:5

C. 20

Problem 161: A 100-kilogram salt solution originally 4% by weight. Salt in water is boiled to reduce water content until the concentration is 5% by weight salt. How much water is evaporated? A. 10 B. 15 C. 20 D. 25

B. Lead = 8.8 ounces; Nickel = 7.2 ounces

Problem 162: A pound of alloy of lead and nickel weights 14.4 ounces in water, where lead losses 1/11 of its weight and nickel losses 1/9 of its weight. How much of each metal is in alloy? A. Lead = 7.2 ounces; Nickel = 8.8 ounces B. Lead = 8.8 ounces; Nickel = 7.2 ounces C. Lead = 6.5 ounces; Nickel = 5.4 ounces D. Lead = 7.8 ounces; Nickel = 4.2 ounces

D. 7 hours

Problem 164(ME April 1998): A pump can pump out a tank in 11 hours. Another pump can pump out the same tank in 20 hours. How long it will take both pumps together to pump out the tank? A. ½ hour B. ½ hour C. 6 hours D. 7 hours

C. 10

Problem 165: Mr. Brown can wash his car in 15 minutes, while his son John takes twice as long as the same job. If they work together, how many minutes can they do the washing? A. 6 B. 8 C. 10 D. 12

B. 2.5 hours

Problem 166: One pipe can fill a tank in 5 hours and another pipe can fill the same tank in 4 hours. A drainpipe can empty the full content of the tank in 20 hours. With all the three pipes open, how long will it take to fill the tank? A. 2 hours B. 2.5 hours C. 1.92 hours D. 1.8 hours

A. 10 hrs.

Problem 171 (ECE November 1995): Pedro can paint a fence 50% faster than Juan and 20% faster than Pilar and together they can paint a given fence in 4 hours. How long will it take Peter to paint the same fence if he had to work alone? A. 10 hrs. B. 11hrs. C. 13hrs. D. 15hrs.

B. 8.4

Problem 172: Nonoy can finish a certain job in 10 days if Imelda will help for 6 days. The same work can be done by Imelda in 12 days if Nonoy helps for 6 days. If they work together, how long will it take for them to do the job? A. 8.9 B. 8.4 C. 9.2 D. 8

A. 173.91

Problem 176: On one job, two power shovels excavate 20000m3 of earth, the larger the shovel working for 40 hours and the smaller shovel for 35 hours. Another job, they removed 40000m3 with the larger shovel working for 70 hours and the smaller working 90 hours. How much earth can the larger shovel move in one hour? A. 173.91 B. 347.83 C. 368.12 D. 162.22

A. 9.867hrs.

Problem 178: Eight men can dig 150 ft of trench in 7hrs. Three men can backfill 100ft of the trench in 4hrs. The time it will take 10 men to dig and fill 200 ft of trench is: A. 9.867hrs. B. 9.687hrs. C. 8.967hrs. D. 8.687hrs.