CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 22 days and B in 14 days. They work together for 4 day(s). What fraction of the work remains?
A. 2/7
B. 41/77
C. 2/11
D. 36/77
Correct Answer: B
Work done = 4(1/22+1/14) = 36/77; remaining = 1 − 36/77 = 41/77.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A is 4 times as efficient as B. If A completes a task in 19 days, how many days will B take?
A. 19
B. 95
C. 76
D. 4
Correct Answer: C
If A is 4 times as efficient, B takes 4 times as long: 19×4=76 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A worker can finish a job in 11 days. At the same rate, how many days are needed to complete 2/3 of the job?
A. 11
B. 11/3
C. 25/3
D. 22/3
Correct Answer: D
Time is proportional to work: 11×2/3 = 22/3 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
12 workers complete a task in 9 days at the same rate. How many days will 15 workers take for the same task?
A. 27/4
B. 11
C. 9
D. 36/5
Correct Answer: D
Worker-days are constant: 12×9=108. Required days = 108/15 = 36/5.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 14 days and B can complete it in 20 days. If they work together, how many days will they take?
A. 140
B. 140/17
C. 34
D. 6
Correct Answer: B
Combined rate = 1/14+1/20 = 34/280; time = 280/34 = 140/17 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 3 day(s). What fraction of the work remains?
A. 120/391
B. 271/391
C. 3/17
D. 3/23
Correct Answer: B
Work done = 3(1/17+1/23) = 120/391; remaining = 1 − 120/391 = 271/391.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A is 3 times as efficient as B. If A completes a task in 14 days, how many days will B take?
A. 4
B. 42
C. 56
D. 14
Correct Answer: B
If A is 3 times as efficient, B takes 3 times as long: 14×3=42 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A worker can finish a job in 24 days. At the same rate, how many days are needed to complete 2/3 of the job?
A. 16
B. 8
C. 17
D. 24
Correct Answer: A
Time is proportional to work: 24×2/3 = 16 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
7 workers complete a task in 4 days at the same rate. How many days will 10 workers take for the same task?
A. 6
B. 28/11
C. 14/5
D. 4
Correct Answer: C
Worker-days are constant: 7×4=28. Required days = 28/10 = 14/5.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 25 days and B can complete it in 24 days. If they work together, how many days will they take?
A. 1
B. 49
C. 600
D. 600/49
Correct Answer: D
Combined rate = 1/25+1/24 = 49/600; time = 600/49 = 600/49 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 2 day(s). What fraction of the work remains?
A. 2/13
B. 1/6
C. 25/78
D. 53/78
Correct Answer: D
Work done = 2(1/12+1/13) = 25/78; remaining = 1 − 25/78 = 53/78.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A is 2 times as efficient as B. If A completes a task in 9 days, how many days will B take?
A. 9
B. 18
C. 4
D. 27
Correct Answer: B
If A is 2 times as efficient, B takes 2 times as long: 9×2=18 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A worker can finish a job in 19 days. At the same rate, how many days are needed to complete 2/3 of the job?
A. 19
B. 41/3
C. 19/3
D. 38/3
Correct Answer: D
Time is proportional to work: 19×2/3 = 38/3 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
14 workers complete a task in 9 days at the same rate. How many days will 17 workers take for the same task?
A. 126/17
B. 7
C. 9
D. 11
Correct Answer: A
Worker-days are constant: 14×9=126. Required days = 126/17 = 126/17.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 10 days and B can complete it in 28 days. If they work together, how many days will they take?
A. 140/19
B. 18
C. 38
D. 140
Correct Answer: A
Combined rate = 1/10+1/28 = 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 22 days. They work together for 1 day(s). What fraction of the work remains?
A. 10/11-1
B. 1/22
C. 1/11
D. 10/11
Correct Answer: D
Work done = 1(1/22+1/22) = 1/11; remaining = 1 − 1/11 = 10/11.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A is 5 times as efficient as B. If A completes a task in 19 days, how many days will B take?
A. 19
B. 3
C. 114
D. 95
Correct Answer: D
If A is 5 times as efficient, B takes 5 times as long: 19×5=95 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A worker can finish a job in 14 days. At the same rate, how many days are needed to complete 2/3 of the job?
A. 28/3
B. 31/3
C. 14/3
D. 14
Correct Answer: A
Time is proportional to work: 14×2/3 = 28/3 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
9 workers complete a task in 4 days at the same rate. How many days will 12 workers take for the same task?
A. 6
B. 4
C. 3
D. 36/13
Correct Answer: C
Worker-days are constant: 9×4=36. Required days = 36/12 = 3.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 21 days and B can complete it in 32 days. If they work together, how many days will they take?
A. 672
B. 672/53
C. 11
D. 53
Correct Answer: B
Combined rate = 1/21+1/32 = 53/672; time = 672/53 = 672/53 days.