Time and Work SSC CHSL Questions

Time and Work MCQ Questions

7.
A can complete a piece of work in 7 days and B can complete the same work in 12 days. A and B worked together for 3 days. C alone completed the remaining work in 9 days. How many days will C take to complete the same work entirely?
SSC CHSL 2021-15.04.2021-2
A.
21
B.
28
C.
14
D.
35
ANSWER :
B. 28
8.
X and Y together can do a work in \(2\dfrac{2}{5}\) days. Y and Z together can do the same work in 3 days. X and Z together can do the same work in 4 days. The time taken by X, Y and Z together to do the same work is:
SSC CHSL 2021-15.04.2021-3
A.
1 day
B.
2 days
C.
\(\dfrac{1}{2}\) day
D.
\(2\dfrac{1}{2}\) days
ANSWER :
B. 2 days
9.
P can complete five-eighths of a work in 15 days and Q can complete three-fourths of the same work in 30 days. They worked together for 8 days and then P left. How much time will Q working alone, take to complete the remaining work?
SSC CHSL 2021-16.04.2021-1
A.
15 days 16 hours
B.
18 days 16 hours
C.
20 days 4 hours
D.
15 days 8 hours
ANSWER :
B. 18 days 16 hours
10.
A certain number of persons can complete a work in 54 days. If there were 15 persons less, it would take 18 days more for the work to be completed. Initially, the number of persons is:
SSC CHSL 2021-16.04.2021-2
A.
60
B.
56
C.
50
D.
72
ANSWER :
A. 60
11.
A, B and C can independently complete the same task in 4, 6 and 12 days, respectively. In how many days will they be able to complete the same task if they work together?
SSC CHSL 2021-16.04.2021-3
A.
\(2\frac{1}{2}\)
B.
\(2\frac{1}{4}\)
C.
3
D.
2
ANSWER :
D. 2
12.
A, B and C together can complete a work in x, 30 and 45 days, respectively. B and C worked together for 6 days. The remaining work was completed by A alone in 12 days. The value of x is:
SSC CHSL 2021-19.04.2021-1
A.
18
B.
20
C.
24
D.
15
ANSWER :
A. 18