CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 22 days and B in 18 days. They work together for 3 day(s). What fraction of the work remains?
A. 10/33
B. 3/22
C. 1/6
D. 23/33
Correct Answer: D
Work done = 3(1/22+1/18) = 10/33; remaining = 1 − 10/33 = 23/33.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 29 days and B can complete it in 28 days. If they work together, how many days will they take?
A. 812/57
B. 812
C. 57
D. 1
Correct Answer: A
Combined rate = 1/29+1/28 = 57/812; time = 812/57 = 812/57 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 17 days and B in 27 days. They work together for 2 day(s). What fraction of the work remains?
A. 2/27
B. 2/17
C. 371/459
D. 88/459
Correct Answer: C
Work done = 2(1/17+1/27) = 88/459; remaining = 1 − 88/459 = 371/459.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 14 days and B can complete it in 32 days. If they work together, how many days will they take?
A. 224
B. 18
C. 224/23
D. 46
Correct Answer: C
Combined rate = 1/14+1/32 = 46/448; time = 448/46 = 224/23 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 17 days. They work together for 1 day(s). What fraction of the work remains?
A. 1/17
B. 29/204
C. 1/12
D. 175/204
Correct Answer: D
Work done = 1(1/12+1/17) = 29/204; remaining = 1 − 29/204 = 175/204.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 25 days and B can complete it in 7 days. If they work together, how many days will they take?
A. 175/32
B. 32
C. 175
D. 18
Correct Answer: A
Combined rate = 1/25+1/7 = 32/175; time = 175/32 = 175/32 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 22 days and B in 26 days. They work together for 4 day(s). What fraction of the work remains?
A. 95/143
B. 48/143
C. 2/11
D. 2/13
Correct Answer: A
Work done = 4(1/22+1/26) = 48/143; remaining = 1 − 48/143 = 95/143.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 10 days and B can complete it in 11 days. If they work together, how many days will they take?
A. 110
B. 1
C. 110/21
D. 21
Correct Answer: C
Combined rate = 1/10+1/11 = 21/110; time = 110/21 = 110/21 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 17 days and B in 16 days. They work together for 3 day(s). What fraction of the work remains?
A. 173/272
B. 3/16
C. 3/17
D. 99/272
Correct Answer: A
Work done = 3(1/17+1/16) = 99/272; remaining = 1 − 99/272 = 173/272.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 21 days and B can complete it in 15 days. If they work together, how many days will they take?
A. 35/4
B. 6
C. 105
D. 36
Correct Answer: A
Combined rate = 1/21+1/15 = 36/315; time = 315/36 = 35/4 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 25 days. They work together for 2 day(s). What fraction of the work remains?
A. 1/6
B. 37/150
C. 113/150
D. 2/25
Correct Answer: C
Work done = 2(1/12+1/25) = 37/150; remaining = 1 − 37/150 = 113/150.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 6 days and B can complete it in 19 days. If they work together, how many days will they take?
A. 13
B. 114
C. 25
D. 114/25
Correct Answer: D
Combined rate = 1/6+1/19 = 25/114; time = 114/25 = 114/25 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 22 days and B in 15 days. They work together for 1 day(s). What fraction of the work remains?
A. 1/15
B. 1/22
C. 293/330
D. 37/330
Correct Answer: C
Work done = 1(1/22+1/15) = 37/330; remaining = 1 − 37/330 = 293/330.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 17 days and B can complete it in 23 days. If they work together, how many days will they take?
A. 391/40
B. 391
C. 6
D. 40
Correct Answer: A
Combined rate = 1/17+1/23 = 40/391; time = 391/40 = 391/40 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 17 days and B in 24 days. They work together for 4 day(s). What fraction of the work remains?
A. 4/17
B. 1/6
C. 41/102
D. 61/102
Correct Answer: D
Work done = 4(1/17+1/24) = 41/102; remaining = 1 − 41/102 = 61/102.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 28 days and B can complete it in 27 days. If they work together, how many days will they take?
A. 1
B. 55
C. 756/55
D. 756
Correct Answer: C
Combined rate = 1/28+1/27 = 55/756; time = 756/55 = 756/55 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 14 days. They work together for 3 day(s). What fraction of the work remains?
A. 1/4
B. 3/14
C. 13/28
D. 15/28
Correct Answer: D
Work done = 3(1/12+1/14) = 13/28; remaining = 1 − 13/28 = 15/28.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 13 days and B can complete it in 31 days. If they work together, how many days will they take?
A. 403/44
B. 403
C. 18
D. 44
Correct Answer: A
Combined rate = 1/13+1/31 = 44/403; time = 403/44 = 403/44 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 22 days and B in 23 days. They work together for 2 day(s). What fraction of the work remains?
A. 2/23
B. 1/11
C. 45/253
D. 208/253
Correct Answer: D
Work done = 2(1/22+1/23) = 45/253; remaining = 1 − 45/253 = 208/253.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 24 days and B can complete it in 6 days. If they work together, how many days will they take?
A. 30
B. 24
C. 24/5
D. 18
Correct Answer: C
Combined rate = 1/24+1/6 = 30/144; time = 144/30 = 24/5 days.