Time and Work Practice Problems – Set 5
1. A can do
a work in 15 days and B in 20 days. If they work on it together for 4 days,
then the fraction of the work that is left is:
a) 1/4
b) 1/10
c) 7/15
d) 8/15
Answer: D)
Solution:
2. A can
lay railway track between two given stations in 16 days and B can do the same
job in 12 days, with help of C, they did the job in 4 days only. Then, C alone
can do the job in:
a) 9(1/5)
b) 9(2/5)
c) 9(3/5)
d) 10
e) None of
these
Answer: C)
Solution:
3. A, B and
C can do a piece of work in 20, 30 and 60 days respectively. In how many days
can A do the work if he is assisted by B and C on every third day?
a) 12 days
b) 15 days
c) 16 days
d) 18 days
e) None of
these
Answer: B)
Solution:
4. A is
thrice as good as workman as B and therefore is able to finish a job in 60 days
less than B. Working together, they can do it in:
a) 20 days
b) 22 1/2
c) 25 days
d) 30 days
e) None of
these
Answer: B)
Solution:
5. A alone
can do a piece of work in 6 days and B alone 8 days. A and B undertook to do it
for Rs.3200. With the help of C, they completed the work in 3 days. How much is
to be paid to C?
a) Rs.375
b) Rs.400
c) Rs.600
d) Rs.800
e) None of
these
Answer: B)
Solution:
6. If 6 men
and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do
the same in 2 days, the time taken by 15 men and 20 boys in doing the same type
of work will be:
a) 4 days
b) 5 days
c) 6 days
d) 7 days
e) None of
these
Answer: A)
Solution:
7. A can do
a piece of work in 4 hours; B and C together can do it in 3 hours, while A and
C together can do it in 2 hours. How long will B alone take to do it?
a) 8 hours
b) 10 hours
c) 12 hours
d) 24 hours
e) None of
these
Answer: C)
Solution:
8. A can do
a certain work in the same time in which B and C together can do it. If A and B
together could do it in 10 days and C alone in 50 days, then B alone could do
it in:
a) 15 days
b) 20 days
c) 25 days
d) 30 days
e) None of
these
Answer: C)
Solution:
9. A does
80% of a work in 20 days. He then calls in B and they together finish the
remaining work in 3 days. How long B alone would take to do the whole work?
a) 23 days
b) 37 days
c) 37 1/2
d) 40 days
e) None of
these
Answer: C)
Solution:
10. A
machine P can print one lakh books in 8 hours, machine Q can print the same
number of books in 10 hours while machine R can print them in 12 hours. All the
machines are started at 9 A.M. while machine P is closed at 11 A.M. and the
remaining two machines complete work. Approximately at what time will the work
(to print one lakh books) be finished?
a) 11:30
A.M.
b) 12 noon
c) 12:30
P.M.
d) 1:00
P.M.
e) None of
these
Answer: D)
Solution:
