### Examples of time and work

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27) A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are
forced to leave after 3 days. The remaining work was done by A in:
a) 5 days b) 6 days c) 10 days
d) 10 e) None of these
28) X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16
days. How long will they together take to complete the work?
a) 13 b) 15 days c) 20 days
d) 26 days e) None of these
29) A and B can do a job together in 7 days. A is 1 times as efficient as B. The same job can be
done by A alone in:
a) 9 b) 11 days c) 12
d) 16 e) None of these
30) P is thrice as efficient as Q and is therefore able to finish a piece of work in 60 days less than
Q. Find the time in which P and Q can complete the work individually.
a) 90 days, 30 days b) 60 days, 20 days c) 65 days, 30 days
d) 85 days, 90 days e) None of these
31) A tub can be filled in 20 minutes but there is a leakage in it which can empty the full tub in 60
minutes. In how many minutes it can be filled?
a) 10 minutes b) 30 minutes c) 40 minutes
d) 25 minutes e) None of these
32) A can do a piece of work in 14 days while B can do it in 21 days. In how many days, working
together they will complete the whole work?
a) 10.5 b) 8 c) 8.4
d) 9 e) None of these
33) A is thrice as efficient as B. Working together they complete the work in 3 days. If B takes 8
days more than A, what is the number of days taken by A to finish the whole work, alone?
a) 4 b) 2 c) 12
d) 16 e) None of these
34) Aman can do a piece of work in 14 days, while Suneeta can do the same work in 21 days.
They started the work together but 3 days before the completion of the work, Aman left the
work. The total number of days to complete the work is :
a) 7 b) 8.5 c) 5
d) 10 e) None of these
35) Karan can do a work in 10 days while Sohan can do the same work in 20 days. They started
work together. After 3 days Karan left the work and Sohan completed it. For how many days
Sohan worked alone more than the number of days required when both worked together?
a)4 b) 3 c) 2
d) 3 e) None of these