CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can do a job in 17 days and B in 12 days. They work together for 4 day(s). What fraction of the work remains?
A. 4/17
B. 22/51
C. 1/3
D. 29/51
Correct Answer: B
Work done = 4(1/17+1/12) = 29/51; remaining = 1 − 29/51 = 22/51.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A is 4 times as efficient as B. If A completes a task in 14 days, how many days will B take?
A. 56
B. 3
C. 70
D. 14
Correct Answer: A
If A is 4 times as efficient, B takes 4 times as long: 14×4=56 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A worker can finish a job in 9 days. At the same rate, how many days are needed to complete 2/3 of the job?
A. 9
B. 6
C. 3
D. 7
Correct Answer: B
Time is proportional to work: 9×2/3 = 6 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
4 workers complete a task in 9 days at the same rate. How many days will 7 workers take for the same task?
A. 11
B. 9
C. 9/2
D. 36/7
Correct Answer: D
Worker-days are constant: 4×9=36. Required days = 36/7 = 36/7.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 6 days and B can complete it in 7 days. If they work together, how many days will they take?
A. 42
B. 13
C. 42/13
D. 1
Correct Answer: C
Combined rate = 1/6+1/7 = 13/42; time = 42/13 = 42/13 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 3 day(s). What fraction of the work remains?
A. 1/7
B. 1/4
C. 17/28
D. 11/28
Correct Answer: C
Work done = 3(1/12+1/21) = 11/28; remaining = 1 − 11/28 = 17/28.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A is 3 times as efficient as B. If A completes a task in 9 days, how many days will B take?
A. 27
B. 9
C. 3
D. 36
Correct Answer: A
If A is 3 times as efficient, B takes 3 times as long: 9×3=27 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A worker can finish a job in 22 days. At the same rate, how many days are needed to complete 2/3 of the job?
A. 22
B. 44/3
C. 22/3
D. 47/3
Correct Answer: B
Time is proportional to work: 22×2/3 = 44/3 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
11 workers complete a task in 4 days at the same rate. How many days will 14 workers take for the same task?
A. 4
B. 44/15
C. 22/7
D. 6
Correct Answer: C
Worker-days are constant: 11×4=44. Required days = 44/14 = 22/7.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 17 days and B can complete it in 11 days. If they work together, how many days will they take?
A. 187/28
B. 187
C. 28
D. 6
Correct Answer: A
Combined rate = 1/17+1/11 = 28/187; time = 187/28 = 187/28 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 2 day(s). What fraction of the work remains?
A. 3/11
B. 8/11
C. 2/11
D. 1/11
Correct Answer: B
Work done = 2(1/22+1/11) = 3/11; remaining = 1 − 3/11 = 8/11.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A is 2 times as efficient as B. If A completes a task in 19 days, how many days will B take?
A. 38
B. 9
C. 19
D. 57
Correct Answer: A
If A is 2 times as efficient, B takes 2 times as long: 19×2=38 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A worker can finish a job in 17 days. At the same rate, how many days are needed to complete 2/3 of the job?
A. 17/3
B. 17
C. 34/3
D. 37/3
Correct Answer: C
Time is proportional to work: 17×2/3 = 34/3 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
6 workers complete a task in 9 days at the same rate. How many days will 9 workers take for the same task?
A. 6
B. 9
C. 27/5
D. 11
Correct Answer: A
Worker-days are constant: 6×9=54. Required days = 54/9 = 6.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 28 days and B can complete it in 15 days. If they work together, how many days will they take?
A. 420/43
B. 420
C. 13
D. 43
Correct Answer: A
Combined rate = 1/28+1/15 = 43/420; time = 420/43 = 420/43 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 1 day(s). What fraction of the work remains?
A. 1/17
B. 1/20
C. 303/340
D. 37/340
Correct Answer: C
Work done = 1(1/17+1/20) = 37/340; remaining = 1 − 37/340 = 303/340.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A is 5 times as efficient as B. If A completes a task in 14 days, how many days will B take?
A. 84
B. 70
C. 2
D. 14
Correct Answer: B
If A is 5 times as efficient, B takes 5 times as long: 14×5=70 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A worker can finish a job in 12 days. At the same rate, how many days are needed to complete 2/3 of the job?
A. 9
B. 8
C. 4
D. 12
Correct Answer: B
Time is proportional to work: 12×2/3 = 8 days.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
13 workers complete a task in 4 days at the same rate. How many days will 16 workers take for the same task?
A. 4
B. 6
C. 13/4
D. 52/17
Correct Answer: C
Worker-days are constant: 13×4=52. Required days = 52/16 = 13/4.
CSS - PMS - CCE - PCS - Mathematics
Time & Work
A can complete a job in 13 days and B can complete it in 19 days. If they work together, how many days will they take?
A. 247
B. 247/32
C. 6
D. 32
Correct Answer: B
Combined rate = 1/13+1/19 = 32/247; time = 247/32 = 247/32 days.