CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 27 days. They work together for 3 day(s). What fraction of the work remains?
A. 23/36
B. 1/4
C. 13/36
D. 1/9
Correct Answer: A
Work done = 3(1/12+1/27) = 13/36; remaining = 1 − 13/36 = 23/36.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 15 days and B can complete it in 21 days. If they work together, how many days will they take?
A. 105
B. 36
C. 35/4
D. 6
Correct Answer: C
Combined rate = 1/15+1/21 = 36/315; time = 315/36 = 35/4 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 22 days and B in 17 days. They work together for 2 day(s). What fraction of the work remains?
A. 2/17
B. 1/11
C. 39/187
D. 148/187
Correct Answer: D
Work done = 2(1/22+1/17) = 39/187; remaining = 1 − 39/187 = 148/187.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A worker can finish a job in 23 days. At the same rate, how many days are needed to complete 2/3 of the job?
A. 23/3
B. 46/3
C. 49/3
D. 23
Correct Answer: B
Time is proportional to work: 23×2/3 = 46/3 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 26 days and B can complete it in 25 days. If they work together, how many days will they take?
A. 1
B. 650/51
C. 51
D. 650
Correct Answer: B
Combined rate = 1/26+1/25 = 51/650; time = 650/51 = 650/51 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 17 days and B in 26 days. They work together for 1 day(s). What fraction of the work remains?
A. 1/17
B. 1/26
C. 43/442
D. 399/442
Correct Answer: D
Work done = 1(1/17+1/26) = 43/442; remaining = 1 − 43/442 = 399/442.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A worker can finish a job in 18 days. At the same rate, how many days are needed to complete 2/3 of the job?
A. 13
B. 18
C. 6
D. 12
Correct Answer: D
Time is proportional to work: 18×2/3 = 12 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 11 days and B can complete it in 29 days. If they work together, how many days will they take?
A. 18
B. 319
C. 319/40
D. 40
Correct Answer: C
Combined rate = 1/11+1/29 = 40/319; time = 319/40 = 319/40 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 16 days. They work together for 4 day(s). What fraction of the work remains?
A. 1/4
B. 1/3
C. 7/12
D. 5/12
Correct Answer: D
Work done = 4(1/12+1/16) = 7/12; remaining = 1 − 7/12 = 5/12.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A worker can finish a job in 13 days. At the same rate, how many days are needed to complete 2/3 of the job?
A. 13/3
B. 29/3
C. 26/3
D. 13
Correct Answer: C
Time is proportional to work: 13×2/3 = 26/3 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 22 days and B can complete it in 33 days. If they work together, how many days will they take?
A. 66/5
B. 55
C. 11
D. 66
Correct Answer: A
Combined rate = 1/22+1/33 = 55/726; time = 726/55 = 66/5 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 22 days and B in 25 days. They work together for 3 day(s). What fraction of the work remains?
A. 3/25
B. 409/550
C. 3/22
D. 141/550
Correct Answer: B
Work done = 3(1/22+1/25) = 141/550; remaining = 1 − 141/550 = 409/550.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A worker can finish a job in 8 days. At the same rate, how many days are needed to complete 2/3 of the job?
A. 8
B. 16/3
C. 19/3
D. 8/3
Correct Answer: B
Time is proportional to work: 8×2/3 = 16/3 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 7 days and B can complete it in 8 days. If they work together, how many days will they take?
A. 56/15
B. 56
C. 15
D. 1
Correct Answer: A
Combined rate = 1/7+1/8 = 15/56; time = 56/15 = 56/15 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 17 days and B in 15 days. They work together for 2 day(s). What fraction of the work remains?
A. 2/15
B. 64/255
C. 2/17
D. 191/255
Correct Answer: D
Work done = 2(1/17+1/15) = 64/255; remaining = 1 − 64/255 = 191/255.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A worker can finish a job in 21 days. At the same rate, how many days are needed to complete 2/3 of the job?
A. 21
B. 7
C. 15
D. 14
Correct Answer: D
Time is proportional to work: 21×2/3 = 14 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 18 days and B can complete it in 12 days. If they work together, how many days will they take?
A. 6
B. 36
C. 30
D. 36/5
Correct Answer: D
Combined rate = 1/18+1/12 = 30/216; time = 216/30 = 36/5 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 24 days. They work together for 1 day(s). What fraction of the work remains?
A. 1/8
B. 7/8
C. 1/12
D. 1/24
Correct Answer: B
Work done = 1(1/12+1/24) = 1/8; remaining = 1 − 1/8 = 7/8.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A worker can finish a job in 16 days. At the same rate, how many days are needed to complete 2/3 of the job?
A. 16/3
B. 32/3
C. 16
D. 35/3
Correct Answer: B
Time is proportional to work: 16×2/3 = 32/3 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 29 days and B can complete it in 16 days. If they work together, how many days will they take?
A. 464/45
B. 45
C. 464
D. 13
Correct Answer: A
Combined rate = 1/29+1/16 = 45/464; time = 464/45 = 464/45 days.