CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 22 days and B in 14 days. They work together for 1 day(s). What fraction of the work remains?
A. 1/14
B. 9/77
C. 68/77
D. 1/22
Correct Answer: C
Work done = 1(1/22+1/14) = 9/77; remaining = 1 − 9/77 = 68/77.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 11 days and B can complete it in 24 days. If they work together, how many days will they take?
A. 264/35
B. 264
C. 35
D. 13
Correct Answer: A
Combined rate = 1/11+1/24 = 35/264; time = 264/35 = 264/35 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 17 days and B in 23 days. They work together for 4 day(s). What fraction of the work remains?
A. 4/23
B. 4/17
C. 160/391
D. 231/391
Correct Answer: D
Work done = 4(1/17+1/23) = 160/391; remaining = 1 − 160/391 = 231/391.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 22 days and B can complete it in 28 days. If they work together, how many days will they take?
A. 308/25
B. 6
C. 50
D. 308
Correct Answer: A
Combined rate = 1/22+1/28 = 50/616; time = 616/50 = 308/25 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 13 days. They work together for 3 day(s). What fraction of the work remains?
A. 3/13
B. 1/4
C. 27/52
D. 25/52
Correct Answer: C
Work done = 3(1/12+1/13) = 25/52; remaining = 1 − 25/52 = 27/52.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 7 days and B can complete it in 32 days. If they work together, how many days will they take?
A. 25
B. 39
C. 224
D. 224/39
Correct Answer: D
Combined rate = 1/7+1/32 = 39/224; time = 224/39 = 224/39 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 22 days and B in 22 days. They work together for 2 day(s). What fraction of the work remains?
A. 2/11
B. 1/11
C. 9/11
D. 9/11-1
Correct Answer: C
Work done = 2(1/22+1/22) = 2/11; remaining = 1 − 2/11 = 9/11.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 18 days and B can complete it in 7 days. If they work together, how many days will they take?
A. 25
B. 126/25
C. 11
D. 126
Correct Answer: B
Combined rate = 1/18+1/7 = 25/126; time = 126/25 = 126/25 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 17 days and B in 12 days. They work together for 1 day(s). What fraction of the work remains?
A. 1/12
B. 1/17
C. 175/204
D. 29/204
Correct Answer: C
Work done = 1(1/17+1/12) = 29/204; remaining = 1 − 29/204 = 175/204.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 29 days and B can complete it in 11 days. If they work together, how many days will they take?
A. 40
B. 319
C. 319/40
D. 18
Correct Answer: C
Combined rate = 1/29+1/11 = 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 21 days. They work together for 4 day(s). What fraction of the work remains?
A. 4/21
B. 11/21
C. 1/3
D. 10/21
Correct Answer: D
Work done = 4(1/12+1/21) = 11/21; remaining = 1 − 11/21 = 10/21.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 14 days and B can complete it in 15 days. If they work together, how many days will they take?
A. 210
B. 29
C. 210/29
D. 1
Correct Answer: C
Combined rate = 1/14+1/15 = 29/210; time = 210/29 = 210/29 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 22 days and B in 11 days. They work together for 3 day(s). What fraction of the work remains?
A. 9/22
B. 3/22
C. 13/22
D. 3/11
Correct Answer: C
Work done = 3(1/22+1/11) = 9/22; remaining = 1 − 9/22 = 13/22.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 25 days and B can complete it in 19 days. If they work together, how many days will they take?
A. 475
B. 6
C. 475/44
D. 44
Correct Answer: C
Combined rate = 1/25+1/19 = 44/475; time = 475/44 = 475/44 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 17 days and B in 20 days. They work together for 2 day(s). What fraction of the work remains?
A. 2/17
B. 1/10
C. 133/170
D. 37/170
Correct Answer: C
Work done = 2(1/17+1/20) = 37/170; remaining = 1 − 37/170 = 133/170.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 10 days and B can complete it in 23 days. If they work together, how many days will they take?
A. 13
B. 230/33
C. 230
D. 33
Correct Answer: B
Combined rate = 1/10+1/23 = 33/230; time = 230/33 = 230/33 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 10 days. They work together for 1 day(s). What fraction of the work remains?
A. 49/60
B. 1/10
C. 11/60
D. 1/12
Correct Answer: A
Work done = 1(1/12+1/10) = 11/60; remaining = 1 − 11/60 = 49/60.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 21 days and B can complete it in 27 days. If they work together, how many days will they take?
A. 189
B. 6
C. 189/16
D. 48
Correct Answer: C
Combined rate = 1/21+1/27 = 48/567; time = 567/48 = 189/16 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 22 days and B in 19 days. They work together for 4 day(s). What fraction of the work remains?
A. 2/11
B. 127/209
C. 4/19
D. 82/209
Correct Answer: B
Work done = 4(1/22+1/19) = 82/209; remaining = 1 − 82/209 = 127/209.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 6 days and B can complete it in 31 days. If they work together, how many days will they take?
A. 37
B. 25
C. 186/37
D. 186
Correct Answer: C
Combined rate = 1/6+1/31 = 37/186; time = 186/37 = 186/37 days.