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Unformatted text preview: e in 6 hours. Her younger sister Ruth can do the same job in 9 hours. In how many hours can they do the job if they work together? (A) (B) (C) (D) (E)
1 2 3 3 5 5. 3 Michael and Barry can complete a job in 2 hours when working together. If Michael requires 6 hours to do the job alone, how many hours does Barry need to do the job alone? (A) 2 (B) (C) (D) (E) 2 3 3 4
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1 4 4 1 4 2 3. A swimming pool can be filled by an inlet pipe in 3 hours. It can be drained by a drainpipe in 6 hours. By mistake, both pipes are opened at the same time. If the pool is empty, in how many hours will it be filled? (A) 4 (B) (C) (D) (E) 4 5 5 6
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1 2 www.petersons.com Problem Solving in Algebra 187 RETEST
Work out each problem. Circle the letter that appears before your answer. 1. Three times the first of three consecutive odd integers is 10 more than the third. Find the middle integer. (A) 7 (B) 9 (C) 11 (D) 13 (E) 15 The denominator of a fraction is three times the numerator. If 8 is added to the numerator and 6 is subtracted from the denominator, the resulting 8 fraction is equivalent to . Find the original 9 fraction. (A) (B) (C) (D) (E) 3.
16 18 1 3 8 24 5 3 8 16 5. 2. One printing press can print the school newspaper in 12 hours, while another press can print it in 18 hours. How long will the job take if both presses work simultaneously? (A) 7 hrs. 12 min. (B) 6 hrs. 36 min. (C) 6 hrs. 50 min. (D) 7 hrs. 20 min. (E) 7 hrs. 15 min. Janet has $2.05 in dimes and quarters. If she has four fewer dimes than quarters, how much money does she have in dimes? (A) 30¢ (B) 80¢ (C) $1.20 (D) 70¢ (E) 90¢ Mr. Cooper invested a sum of money at 6%. He invested a second sum, $150 more than the first, at 3%. If his total annual income was $54, how much did he invest at 3%? (A) (B) (C) (D) (E) $700 $650 $500 $550 $600 6. 7. How many quarts of water must be added to 40 quarts of a 5% acid solution to dilute it to a 2% solution? (A) 80 (B) 40 (C) 60 (D) 20 (E) 50 Miriam is 11 years older than Charles. In three years she will be twice as...
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 Spring '10
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