CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 17 days and B in 28 days. They work together for 3 day(s). What fraction of the work remains?
A. 135/476
B. 341/476
C. 3/17
D. 3/28
Correct Answer: B
Work done = 3(1/17+1/28) = 135/476; remaining = 1 − 135/476 = 341/476.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 17 days and B can complete it in 6 days. If they work together, how many days will they take?
A. 102
B. 102/23
C. 11
D. 23
Correct Answer: B
Combined rate = 1/17+1/6 = 23/102; time = 102/23 = 102/23 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 18 days. They work together for 2 day(s). What fraction of the work remains?
A. 5/18
B. 1/9
C. 1/6
D. 13/18
Correct Answer: D
Work done = 2(1/12+1/18) = 5/18; remaining = 1 − 5/18 = 13/18.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 28 days and B can complete it in 10 days. If they work together, how many days will they take?
A. 140/19
B. 18
C. 140
D. 38
Correct Answer: A
Combined rate = 1/28+1/10 = 38/280; time = 280/38 = 140/19 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 22 days and B in 27 days. They work together for 1 day(s). What fraction of the work remains?
A. 545/594
B. 1/27
C. 49/594
D. 1/22
Correct Answer: A
Work done = 1(1/22+1/27) = 49/594; remaining = 1 − 49/594 = 545/594.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 13 days and B can complete it in 14 days. If they work together, how many days will they take?
A. 182
B. 27
C. 1
D. 182/27
Correct Answer: D
Combined rate = 1/13+1/14 = 27/182; time = 182/27 = 182/27 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 17 days and B in 17 days. They work together for 4 day(s). What fraction of the work remains?
A. 9/17-1
B. 8/17
C. 4/17
D. 9/17
Correct Answer: D
Work done = 4(1/17+1/17) = 8/17; remaining = 1 − 8/17 = 9/17.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 24 days and B can complete it in 18 days. If they work together, how many days will they take?
A. 6
B. 42
C. 72
D. 72/7
Correct Answer: D
Combined rate = 1/24+1/18 = 42/432; time = 432/42 = 72/7 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 26 days. They work together for 3 day(s). What fraction of the work remains?
A. 19/52
B. 1/4
C. 33/52
D. 3/26
Correct Answer: C
Work done = 3(1/12+1/26) = 19/52; remaining = 1 − 19/52 = 33/52.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 9 days and B can complete it in 22 days. If they work together, how many days will they take?
A. 198/31
B. 198
C. 13
D. 31
Correct Answer: A
Combined rate = 1/9+1/22 = 31/198; time = 198/31 = 198/31 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 22 days and B in 16 days. They work together for 2 day(s). What fraction of the work remains?
A. 1/8
B. 19/88
C. 1/11
D. 69/88
Correct Answer: D
Work done = 2(1/22+1/16) = 19/88; remaining = 1 − 19/88 = 69/88.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 20 days and B can complete it in 26 days. If they work together, how many days will they take?
A. 260
B. 260/23
C. 6
D. 46
Correct Answer: B
Combined rate = 1/20+1/26 = 46/520; time = 520/46 = 260/23 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 17 days and B in 25 days. They work together for 1 day(s). What fraction of the work remains?
A. 1/17
B. 1/25
C. 383/425
D. 42/425
Correct Answer: C
Work done = 1(1/17+1/25) = 42/425; remaining = 1 − 42/425 = 383/425.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 5 days and B can complete it in 30 days. If they work together, how many days will they take?
A. 30
B. 30/7
C. 35
D. 25
Correct Answer: B
Combined rate = 1/5+1/30 = 35/150; time = 150/35 = 30/7 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 15 days. They work together for 4 day(s). What fraction of the work remains?
A. 3/5
B. 1/3
C. 4/15
D. 2/5
Correct Answer: D
Work done = 4(1/12+1/15) = 3/5; remaining = 1 − 3/5 = 2/5.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 16 days and B can complete it in 34 days. If they work together, how many days will they take?
A. 272
B. 50
C. 272/25
D. 18
Correct Answer: C
Combined rate = 1/16+1/34 = 50/544; time = 544/50 = 272/25 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 22 days and B in 24 days. They work together for 3 day(s). What fraction of the work remains?
A. 1/8
B. 3/22
C. 23/88
D. 65/88
Correct Answer: D
Work done = 3(1/22+1/24) = 23/88; remaining = 1 − 23/88 = 65/88.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 27 days and B can complete it in 9 days. If they work together, how many days will they take?
A. 27/4
B. 27
C. 18
D. 36
Correct Answer: A
Combined rate = 1/27+1/9 = 36/243; time = 243/36 = 27/4 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 17 days and B in 14 days. They work together for 2 day(s). What fraction of the work remains?
A. 31/119
B. 2/17
C. 1/7
D. 88/119
Correct Answer: D
Work done = 2(1/17+1/14) = 31/119; remaining = 1 − 31/119 = 88/119.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 12 days and B can complete it in 13 days. If they work together, how many days will they take?
A. 25
B. 156/25
C. 156
D. 1
Correct Answer: B
Combined rate = 1/12+1/13 = 25/156; time = 156/25 = 156/25 days.