CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 23 days. They work together for 1 day(s). What fraction of the work remains?
A. 35/276
B. 241/276
C. 1/12
D. 1/23
Correct Answer: B
Work done = 1(1/12+1/23) = 35/276; remaining = 1 − 35/276 = 241/276.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 23 days and B can complete it in 17 days. If they work together, how many days will they take?
A. 40
B. 391
C. 391/40
D. 6
Correct Answer: C
Combined rate = 1/23+1/17 = 40/391; time = 391/40 = 391/40 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 22 days and B in 13 days. They work together for 4 day(s). What fraction of the work remains?
A. 4/13
B. 70/143
C. 73/143
D. 2/11
Correct Answer: C
Work done = 4(1/22+1/13) = 70/143; remaining = 1 − 70/143 = 73/143.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 8 days and B can complete it in 21 days. If they work together, how many days will they take?
A. 29
B. 168
C. 168/29
D. 13
Correct Answer: C
Combined rate = 1/8+1/21 = 29/168; time = 168/29 = 168/29 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 17 days and B in 22 days. They work together for 3 day(s). What fraction of the work remains?
A. 117/374
B. 257/374
C. 3/22
D. 3/17
Correct Answer: B
Work done = 3(1/17+1/22) = 117/374; remaining = 1 − 117/374 = 257/374.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 19 days and B can complete it in 25 days. If they work together, how many days will they take?
A. 44
B. 475
C. 6
D. 475/44
Correct Answer: D
Combined rate = 1/19+1/25 = 44/475; time = 475/44 = 475/44 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 12 days. They work together for 2 day(s). What fraction of the work remains?
A. 1/3
B. 2/3-1
C. 1/6
D. 2/3
Correct Answer: D
Work done = 2(1/12+1/12) = 1/3; remaining = 1 − 1/3 = 2/3.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 30 days and B can complete it in 29 days. If they work together, how many days will they take?
A. 870/59
B. 870
C. 1
D. 59
Correct Answer: A
Combined rate = 1/30+1/29 = 59/870; time = 870/59 = 870/59 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 22 days and B in 21 days. They work together for 1 day(s). What fraction of the work remains?
A. 1/22
B. 43/462
C. 419/462
D. 1/21
Correct Answer: C
Work done = 1(1/22+1/21) = 43/462; remaining = 1 − 43/462 = 419/462.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 15 days and B can complete it in 33 days. If they work together, how many days will they take?
A. 48
B. 165
C. 18
D. 165/16
Correct Answer: D
Combined rate = 1/15+1/33 = 48/495; time = 495/48 = 165/16 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 17 days and B in 11 days. They work together for 4 day(s). What fraction of the work remains?
A. 4/11
B. 75/187
C. 4/17
D. 112/187
Correct Answer: B
Work done = 4(1/17+1/11) = 112/187; remaining = 1 − 112/187 = 75/187.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 26 days and B can complete it in 8 days. If they work together, how many days will they take?
A. 104
B. 104/17
C. 18
D. 34
Correct Answer: B
Combined rate = 1/26+1/8 = 34/208; time = 208/34 = 104/17 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 20 days. They work together for 3 day(s). What fraction of the work remains?
A. 3/20
B. 1/4
C. 3/5
D. 2/5
Correct Answer: C
Work done = 3(1/12+1/20) = 2/5; remaining = 1 − 2/5 = 3/5.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 11 days and B can complete it in 12 days. If they work together, how many days will they take?
A. 23
B. 132/23
C. 132
D. 1
Correct Answer: B
Combined rate = 1/11+1/12 = 23/132; time = 132/23 = 132/23 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 22 days and B in 10 days. They work together for 2 day(s). What fraction of the work remains?
A. 1/11
B. 16/55
C. 39/55
D. 1/5
Correct Answer: C
Work done = 2(1/22+1/10) = 16/55; remaining = 1 − 16/55 = 39/55.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 22 days and B can complete it in 16 days. If they work together, how many days will they take?
A. 176
B. 38
C. 6
D. 176/19
Correct Answer: D
Combined rate = 1/22+1/16 = 38/352; time = 352/38 = 176/19 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 17 days and B in 19 days. They work together for 1 day(s). What fraction of the work remains?
A. 1/19
B. 287/323
C. 36/323
D. 1/17
Correct Answer: B
Work done = 1(1/17+1/19) = 36/323; remaining = 1 − 36/323 = 287/323.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 7 days and B can complete it in 20 days. If they work together, how many days will they take?
A. 140/27
B. 27
C. 140
D. 13
Correct Answer: A
Combined rate = 1/7+1/20 = 27/140; time = 140/27 = 140/27 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 28 days. They work together for 4 day(s). What fraction of the work remains?
A. 10/21
B. 1/3
C. 11/21
D. 1/7
Correct Answer: C
Work done = 4(1/12+1/28) = 10/21; remaining = 1 − 10/21 = 11/21.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 18 days and B can complete it in 24 days. If they work together, how many days will they take?
A. 72
B. 42
C. 72/7
D. 6
Correct Answer: C
Combined rate = 1/18+1/24 = 42/432; time = 432/42 = 72/7 days.