Time & Work SSC GD Questions

Time & Work MCQ Questions

13.
Pipes A and B can fill a tank in 12 h and 18 h, respectively, whereas pipe C can empty the full tank in 8 h. A and B are opened for \( \frac{1}{2} \)h and then closed. C alone will empty the tank in (in h):
SSC GD 2021-03.12.2021-2
A.
4 \( \frac{1}{2} \)
B.
5 \( \frac{1}{4} \)
C.
9
D.
5
ANSWER :
D. 5
14.
Two pipes can fill a cistern in 12 and 15 hours, respectively, while a third pipe can empty it in 24 hours. If all the pipes are opened simultaneously, in how much time (in hours and to the nearest minute), will the cistern be filled?
SSC GD 2021-03.12.2021-1
A.
9 hours 13 minutes
B.
9 hours 12 minutes
C.
9 hours 10 minutes
D.
9 hours 14 minutes
ANSWER :
D. 9 hours 14 minutes
15.
A and B working together can complete a work in 30 days. A alone can complete the same work in 50 days. In how many days can B alone do the same work?
SSC GD 2021-03.12.2021-1
A.
20
B.
60
C.
75
D.
10
ANSWER :
C. 75
16.
P can do a piece of work in 30 days and Q can do the same work in 40 days. They worked together for 5 days and then Q left. How much time (in days and hours) will P, working alone, take to complete the remaining work?
SSC GD 2021-03.12.2021-3
A.
21 days 6 hours
B.
21 days 18 hours
C.
21 days 12 hours
D.
20 days 6 hours
ANSWER :
A. 21 days 6 hours
17.
A and B together can do a piece of work in 16 days. If A is 50% less efficient than B, then in how many days can A, working alone, complete the entire work?
SSC GD 2021-03.12.2021-3
A.
30
B.
36
C.
48
D.
24
ANSWER :
C. 48
18.
20 persons were engaged to complete a work in 8 days. Due to COVID 19 infection, 4 persons left the job after 4 days. The total number of days required to complete the work is:
SSC GD 2021-06.12.2021-1
A.
12
B.
9
C.
11
D.
10
ANSWER :
B. 9