CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 19 days. They work together for 3 day(s). What fraction of the work remains?
A. 45/76
B. 1/4
C. 31/76
D. 3/19
Correct Answer: A
Work done = 3(1/12+1/19) = 31/76; remaining = 1 − 31/76 = 45/76.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 5 days and B can complete it in 13 days. If they work together, how many days will they take?
A. 65/18
B. 65
C. 8
D. 18
Correct Answer: A
Combined rate = 1/5+1/13 = 18/65; time = 65/18 = 65/18 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 22 days and B in 28 days. They work together for 2 day(s). What fraction of the work remains?
A. 129/154
B. 1/14
C. 25/154
D. 1/11
Correct Answer: A
Work done = 2(1/22+1/28) = 25/154; remaining = 1 − 25/154 = 129/154.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 16 days and B can complete it in 17 days. If they work together, how many days will they take?
A. 33
B. 1
C. 272
D. 272/33
Correct Answer: D
Combined rate = 1/16+1/17 = 33/272; time = 272/33 = 272/33 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 17 days and B in 18 days. They work together for 1 day(s). What fraction of the work remains?
A. 1/17
B. 1/18
C. 35/306
D. 271/306
Correct Answer: D
Work done = 1(1/17+1/18) = 35/306; remaining = 1 − 35/306 = 271/306.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 27 days and B can complete it in 21 days. If they work together, how many days will they take?
A. 189
B. 6
C. 48
D. 189/16
Correct Answer: D
Combined rate = 1/27+1/21 = 48/567; time = 567/48 = 189/16 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 27 days. They work together for 4 day(s). What fraction of the work remains?
A. 13/27
B. 14/27
C. 1/3
D. 4/27
Correct Answer: B
Work done = 4(1/12+1/27) = 13/27; remaining = 1 − 13/27 = 14/27.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 12 days and B can complete it in 25 days. If they work together, how many days will they take?
A. 300
B. 37
C. 13
D. 300/37
Correct Answer: D
Combined rate = 1/12+1/25 = 37/300; time = 300/37 = 300/37 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 3 day(s). What fraction of the work remains?
A. 3/22
B. 257/374
C. 3/17
D. 117/374
Correct Answer: B
Work done = 3(1/22+1/17) = 117/374; remaining = 1 − 117/374 = 257/374.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 23 days and B can complete it in 29 days. If they work together, how many days will they take?
A. 667
B. 6
C. 52
D. 667/52
Correct Answer: D
Combined rate = 1/23+1/29 = 52/667; time = 667/52 = 667/52 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 2 day(s). What fraction of the work remains?
A. 2/17
B. 178/221
C. 43/221
D. 1/13
Correct Answer: B
Work done = 2(1/17+1/26) = 43/221; remaining = 1 − 43/221 = 178/221.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 8 days and B can complete it in 33 days. If they work together, how many days will they take?
A. 264/41
B. 25
C. 264
D. 41
Correct Answer: A
Combined rate = 1/8+1/33 = 41/264; time = 264/41 = 264/41 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 1 day(s). What fraction of the work remains?
A. 1/16
B. 1/12
C. 7/48
D. 41/48
Correct Answer: D
Work done = 1(1/12+1/16) = 7/48; remaining = 1 − 7/48 = 41/48.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 19 days and B can complete it in 8 days. If they work together, how many days will they take?
A. 152/27
B. 11
C. 152
D. 27
Correct Answer: A
Combined rate = 1/19+1/8 = 27/152; time = 152/27 = 152/27 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 4 day(s). What fraction of the work remains?
A. 2/11
B. 181/275
C. 4/25
D. 94/275
Correct Answer: B
Work done = 4(1/22+1/25) = 94/275; remaining = 1 − 94/275 = 181/275.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 30 days and B can complete it in 12 days. If they work together, how many days will they take?
A. 42
B. 18
C. 60
D. 60/7
Correct Answer: D
Combined rate = 1/30+1/12 = 42/360; time = 360/42 = 60/7 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 3 day(s). What fraction of the work remains?
A. 32/85
B. 1/5
C. 3/17
D. 53/85
Correct Answer: D
Work done = 3(1/17+1/15) = 32/85; remaining = 1 − 32/85 = 53/85.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 15 days and B can complete it in 16 days. If they work together, how many days will they take?
A. 31
B. 240/31
C. 1
D. 240
Correct Answer: B
Combined rate = 1/15+1/16 = 31/240; time = 240/31 = 240/31 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 2 day(s). What fraction of the work remains?
A. 1/4
B. 1/12
C. 1/6
D. 3/4
Correct Answer: D
Work done = 2(1/12+1/24) = 1/4; remaining = 1 − 1/4 = 3/4.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 26 days and B can complete it in 20 days. If they work together, how many days will they take?
A. 46
B. 260/23
C. 6
D. 260
Correct Answer: B
Combined rate = 1/26+1/20 = 46/520; time = 520/46 = 260/23 days.