CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 12 days and B in 10 days. They work together for 4 day(s). What fraction of the work remains?
A. 1/3
B. 2/5
C. 11/15
D. 4/15
Correct Answer: D
Work done = 4(1/12+1/10) = 11/15; remaining = 1 − 11/15 = 4/15.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A is 4 times as efficient as B. If A completes a task in 9 days, how many days will B take?
A. 45
B. 2
C. 9
D. 36
Correct Answer: D
If A is 4 times as efficient, B takes 4 times as long: 9×4=36 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A worker can finish a job in 25 days. At the same rate, how many days are needed to complete 2/3 of the job?
A. 53/3
B. 25
C. 50/3
D. 25/3
Correct Answer: C
Time is proportional to work: 25×2/3 = 50/3 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
8 workers complete a task in 9 days at the same rate. How many days will 11 workers take for the same task?
A. 72/11
B. 6
C. 11
D. 9
Correct Answer: A
Worker-days are constant: 8×9=72. Required days = 72/11 = 72/11.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 24 days and B can complete it in 23 days. If they work together, how many days will they take?
A. 1
B. 552/47
C. 552
D. 47
Correct Answer: B
Combined rate = 1/24+1/23 = 47/552; time = 552/47 = 552/47 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 3 day(s). What fraction of the work remains?
A. 3/19
B. 295/418
C. 123/418
D. 3/22
Correct Answer: B
Work done = 3(1/22+1/19) = 123/418; remaining = 1 − 123/418 = 295/418.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A is 3 times as efficient as B. If A completes a task in 19 days, how many days will B take?
A. 76
B. 19
C. 6
D. 57
Correct Answer: D
If A is 3 times as efficient, B takes 3 times as long: 19×3=57 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A worker can finish a job in 20 days. At the same rate, how many days are needed to complete 2/3 of the job?
A. 20
B. 43/3
C. 20/3
D. 40/3
Correct Answer: D
Time is proportional to work: 20×2/3 = 40/3 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
15 workers complete a task in 4 days at the same rate. How many days will 18 workers take for the same task?
A. 4
B. 6
C. 10/3
D. 60/19
Correct Answer: C
Worker-days are constant: 15×4=60. Required days = 60/18 = 10/3.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 9 days and B can complete it in 27 days. If they work together, how many days will they take?
A. 36
B. 27/4
C. 18
D. 27
Correct Answer: B
Combined rate = 1/9+1/27 = 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 28 days. They work together for 2 day(s). What fraction of the work remains?
A. 2/17
B. 1/14
C. 193/238
D. 45/238
Correct Answer: C
Work done = 2(1/17+1/28) = 45/238; remaining = 1 − 45/238 = 193/238.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A is 2 times as efficient as B. If A completes a task in 14 days, how many days will B take?
A. 14
B. 28
C. 42
D. 7
Correct Answer: B
If A is 2 times as efficient, B takes 2 times as long: 14×2=28 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A worker can finish a job in 15 days. At the same rate, how many days are needed to complete 2/3 of the job?
A. 10
B. 5
C. 11
D. 15
Correct Answer: A
Time is proportional to work: 15×2/3 = 10 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
10 workers complete a task in 9 days at the same rate. How many days will 13 workers take for the same task?
A. 11
B. 90/13
C. 45/7
D. 9
Correct Answer: B
Worker-days are constant: 10×9=90. Required days = 90/13 = 90/13.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 20 days and B can complete it in 31 days. If they work together, how many days will they take?
A. 620/51
B. 620
C. 51
D. 11
Correct Answer: A
Combined rate = 1/20+1/31 = 51/620; time = 620/51 = 620/51 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 1 day(s). What fraction of the work remains?
A. 1/18
B. 5/36
C. 1/12
D. 31/36
Correct Answer: D
Work done = 1(1/12+1/18) = 5/36; remaining = 1 − 5/36 = 31/36.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A is 5 times as efficient as B. If A completes a task in 9 days, how many days will B take?
A. 1
B. 45
C. 9
D. 54
Correct Answer: B
If A is 5 times as efficient, B takes 5 times as long: 9×5=45 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A worker can finish a job in 10 days. At the same rate, how many days are needed to complete 2/3 of the job?
A. 23/3
B. 10
C. 10/3
D. 20/3
Correct Answer: D
Time is proportional to work: 10×2/3 = 20/3 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
5 workers complete a task in 4 days at the same rate. How many days will 8 workers take for the same task?
A. 6
B. 5/2
C. 20/9
D. 4
Correct Answer: B
Worker-days are constant: 5×4=20. Required days = 20/8 = 5/2.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 5 days and B can complete it in 6 days. If they work together, how many days will they take?
A. 30/11
B. 30
C. 11
D. 1
Correct Answer: A
Combined rate = 1/5+1/6 = 11/30; time = 30/11 = 30/11 days.