CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 17 days and B in 13 days. They work together for 1 day(s). What fraction of the work remains?
A. 191/221
B. 30/221
C. 1/17
D. 1/13
Correct Answer: A
Work done = 1(1/17+1/13) = 30/221; remaining = 1 − 30/221 = 191/221.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 9 days and B can complete it in 10 days. If they work together, how many days will they take?
A. 90/19
B. 1
C. 90
D. 19
Correct Answer: A
Combined rate = 1/9+1/10 = 19/90; time = 90/19 = 90/19 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 22 days. They work together for 4 day(s). What fraction of the work remains?
A. 1/3
B. 16/33
C. 17/33
D. 2/11
Correct Answer: B
Work done = 4(1/12+1/22) = 17/33; remaining = 1 − 17/33 = 16/33.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 20 days and B can complete it in 14 days. If they work together, how many days will they take?
A. 140
B. 140/17
C. 6
D. 34
Correct Answer: B
Combined rate = 1/20+1/14 = 34/280; time = 280/34 = 140/17 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 22 days and B in 12 days. They work together for 3 day(s). What fraction of the work remains?
A. 27/44
B. 17/44
C. 3/22
D. 1/4
Correct Answer: A
Work done = 3(1/22+1/12) = 17/44; remaining = 1 − 17/44 = 27/44.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 5 days and B can complete it in 18 days. If they work together, how many days will they take?
A. 90
B. 13
C. 23
D. 90/23
Correct Answer: D
Combined rate = 1/5+1/18 = 23/90; time = 90/23 = 90/23 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 17 days and B in 21 days. They work together for 2 day(s). What fraction of the work remains?
A. 281/357
B. 2/17
C. 2/21
D. 76/357
Correct Answer: A
Work done = 2(1/17+1/21) = 76/357; remaining = 1 − 76/357 = 281/357.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 16 days and B can complete it in 22 days. If they work together, how many days will they take?
A. 6
B. 176
C. 176/19
D. 38
Correct Answer: C
Combined rate = 1/16+1/22 = 38/352; time = 352/38 = 176/19 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 11 days. They work together for 1 day(s). What fraction of the work remains?
A. 1/12
B. 23/132
C. 1/11
D. 109/132
Correct Answer: D
Work done = 1(1/12+1/11) = 23/132; remaining = 1 − 23/132 = 109/132.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 27 days and B can complete it in 26 days. If they work together, how many days will they take?
A. 702
B. 702/53
C. 1
D. 53
Correct Answer: B
Combined rate = 1/27+1/26 = 53/702; time = 702/53 = 702/53 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 22 days and B in 20 days. They work together for 4 day(s). What fraction of the work remains?
A. 2/11
B. 21/55
C. 1/5
D. 34/55
Correct Answer: D
Work done = 4(1/22+1/20) = 21/55; remaining = 1 − 21/55 = 34/55.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 12 days and B can complete it in 30 days. If they work together, how many days will they take?
A. 60
B. 42
C. 18
D. 60/7
Correct Answer: D
Combined rate = 1/12+1/30 = 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 10 days. They work together for 3 day(s). What fraction of the work remains?
A. 81/170
B. 89/170
C. 3/10
D. 3/17
Correct Answer: B
Work done = 3(1/17+1/10) = 81/170; remaining = 1 − 81/170 = 89/170.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 23 days and B can complete it in 34 days. If they work together, how many days will they take?
A. 782
B. 57
C. 11
D. 782/57
Correct Answer: D
Combined rate = 1/23+1/34 = 57/782; time = 782/57 = 782/57 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 19 days. They work together for 2 day(s). What fraction of the work remains?
A. 83/114
B. 1/6
C. 2/19
D. 31/114
Correct Answer: A
Work done = 2(1/12+1/19) = 31/114; remaining = 1 − 31/114 = 83/114.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 8 days and B can complete it in 9 days. If they work together, how many days will they take?
A. 17
B. 1
C. 72/17
D. 72
Correct Answer: C
Combined rate = 1/8+1/9 = 17/72; time = 72/17 = 72/17 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 1 day(s). What fraction of the work remains?
A. 283/308
B. 1/28
C. 1/22
D. 25/308
Correct Answer: A
Work done = 1(1/22+1/28) = 25/308; remaining = 1 − 25/308 = 283/308.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 19 days and B can complete it in 13 days. If they work together, how many days will they take?
A. 32
B. 6
C. 247
D. 247/32
Correct Answer: D
Combined rate = 1/19+1/13 = 32/247; time = 247/32 = 247/32 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 4 day(s). What fraction of the work remains?
A. 83/153
B. 70/153
C. 4/17
D. 2/9
Correct Answer: A
Work done = 4(1/17+1/18) = 70/153; remaining = 1 − 70/153 = 83/153.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 30 days and B can complete it in 17 days. If they work together, how many days will they take?
A. 510/47
B. 510
C. 47
D. 13
Correct Answer: A
Combined rate = 1/30+1/17 = 47/510; time = 510/47 = 510/47 days.