44 Time and Work Problems - Competition Gurukul

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Time and work A can do piece of work in 30 days
while B alone can do it in 40 days. In
1.
how many days can A and B working together do
it? (a)120 (b)40/7 (c)60
(d) 171/7
A and B together can complete a piece of work in
35 days while A alone can
2.
complete the same work in 60 days. B
alone will be able to complete the same
working in how many days? (a)80 (b)45 (c)80 (d)84
3. A can do a piece of work in 7days of 9 horse
each and B can do it in 6 days of 7 hours each.
How long will they take to do it, working
together 8 2/5 hours a day ? (a)5 (b)4 (b)3 (d)8 4
. A can do a piece of work in 15 days and B alone
can do it in 10 days. B works at it for 5 days
and them leaves. A alone can finish the remaining
in? (a)75/6 (b)71/7 (c)80 (d)75
A can do 1/3 of the work in 5 days and B can do
2/5 of the work in 10 days
5.
in how many days both A and B toether can do the
work ? (a)93/8 (b)15 (c)27
(d)45
A can do a piece of work in 80 days. He works at
it for 10 days and then B
6.
alone finished the remaining work in 42 days. The
two togther could complete the work in how many
days?
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(a)48
(b)15 (c)30 (d)45 A and B can together finish a
work in 30 days. They workd at it for 20 days
7.
and then B left. The remaining work was done by A
alone in 20 more days A alone can finish the work
in ? (a)60 (b)22 (c)48 (d)25
A and B can do a piece of work in 45 days and 40
days respectively. They
8.
began to go the work together but A leaves after
some days and than B completed the reaminnig
work in 23 days. The number o days after
which A left the work was ? (a)15 (b)45 (b)3 (d)9
A does half as much work as B in three fourth of
the time. If together they
9.

• take 18 days to complete the work, how much time
  shall B take to do it ?
• (a)46 (b)15 (c)30 (d)45
• A can do a certain job in 12 days. B is
  60 more efficient than A . The number of
  days, it takes B to do the same piece of work is?
• (a)15/2 (b)25 (c)28 (d)20
• A can do a certain job in 25 days which B alone
  can do in 20 days. A stared the work and was
  joined by B after 10 days. The number
  odays tkane in completing the work was?
• (a)68/3 (b)162/3 (c)48 (d)28/3

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12. A is twice as good a work man as B and
together they finish a piece of work in 14 days
The number of days taken by A alone to finish the
work. ?
(a)45
(b)21
(c)36
(d)49

• A is thrice as good a workman as B and Takes 10
  days less to do a piece of work than B takes.B
  alone can do the while work work in ?
• (a)15 (b)25 (b)3 0 (d)27/6
• A can do a piece work in 14 days which B can do
  in 21 days. They being together but 3 days
  the completion of the work. A leaves of
  the total number of days to complete the work
  is ?
• (a)175/6 (b)101/7 (c)101/5 (d)75

15. If ramesh, suresh and hairsh can do a
piece of work in 15 days, 10 days and 6 days
respectively. How long will they take to
do it, if all the three work it
together? ( a)9 (b)03 (b)30 (d)15
16. A and B can do a piece of working 72 days B
and C and do it in 120 days A and C can do it
in 90 days. In what time can A alone do it
? (a)120 (b)150 (c)45 (d)125
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17. A and B and C together can finish a piece of
work in 4 days alone can do it in 12 days and B
in 18 days, then C alone can do it in
? (a)15 (b)65 (c)09 (d)14

• A and B can do a piece of work in 18 days B and
  C can do it in 24 days A and C can do it in 36
  days. In how many days can they do it all working
  together? (a)16 (b)42 (c)30 (d)90
• A is twice as good as workman as B and together
  they complete a work in 15 days . in how many
  days can the work be complete by B alone ?
• (a)45 (b)25 (c)20 (d)28
• 45 men can complete a wok in 16 days. Six days
  after they started working 30 more men joined
  them. How many days will they now take to
  complete the remaining work?
• (a)16 (b)14 (b)6 (d)9
• 12 men can complete a work in 18 days six days
  after they started working men joined them. How
  many days will all of them together complete the
  remaining work?
• (a)15 (b)18 (b)03 (d)9
• Twelve men can complete a work in 8 days.
  Three days after started the work 3 more men
  joined. In how many days will all of them
  together complete the

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remaining work . (a)16
(b)04 (b)06 (d)09
23. A,B and C are employed to do apiece
of work for Rs.529. A and C are supposed
to finish 19/23 of the work together. How much
shall be paid to B? (a)15 (b)65 (c)09 (d)14 24.
A job is completed by 10 men in 20 days and by 20
women in 15 days. The days will it take for 5 men
and 10 women to finish that work?
(d) 171/7
(a)120 (b)40/7 (c)60
25. A and B can do a piece of work in 5 days. B
and C can do it in 7 days, A and C can do it in 4
days. Who among these will take the least time if
put to do it alone? (a)A (b)B (b)C (d)not possible
A and B take 8 days, B and C 12 days. A, B and C
take 6 days. A and C
26. take . (a)5
(b)4
(b)3
(d)8
27. A and B take 12 days, B and C 15
days, C and A 20 days. A, B and C
together take. ( a)15
(b)03
(b)10
(d)25
28. A and B can complete a work in 4 days. A
alone takes 12 days, in how many days B alone can
complete the work?
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(a)5
(b)3 (b)7 (d)6 29. 10 men and 15 women together
can complete a work in 6 days. It takes 100
days for one man alone to complete the
same work. How many days will be required
for one woman alone to complete the same work? (
a)225 (b)325 (b)215 (d)425

• X can do in 40 days. He worked for 8 days and
  then Y finished it in 16 days. How long together
  take to finish the work?
• (a)131/3 (b)104/7 (c)101/5 (d)175/3
• A does 4/5 of the work in 20 days. He
  then calls in B and they together finish
  the remaining work in 3 days. How long B
  alone take to finish the whole work? ½

(d)37½
(a)5 8 (b)42 (b)39
33. A takes 3 days and B 2 days. Both
finished the work and got Rs.150. What is the
share of A ? (a)45 (b)60 (c)09 (d)15 34. A can
lay railway track between given stations in 16
days and B can do the same job in 12 days.
With the help of C, they did the job in 4 days
only. Then, C alone can do the job in
1 2
3
a. 9 days
b. 9 days c. 9 days
d. 10 days
5
5
5
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35. Ronald and Elan are working on an assignment.
Ronald takes 6 hours to type 32 pages on a
computer, while Elan takes 5 hours to type
40 pages. How much time will they take,
working together on two different computers
to type an assignment of 110 pages?
a. 7 hours 30 minutes c. 8 hours 15 minutes
b. 8 hours d. 8 hours 25 minutes
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• A works twice as fast as B. If B can complete a
  work in 12 days independently, the number of days
  in which A and B can together finish the work is
• 4 days b. 6 days c. 8 days d. 18 days
• Sakshi can do a piece of work in 20 days. Tanya
  is 25 more efficient than Sakshi. The number of
  days taken by Tanya to do the same piece of work
  .
• (a)15 (b)65 (c)09 (d)14

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a. 15 38. A is 50 as efficient as B. C does half
of the work done by A and B together. If C alone
does the work in 40 days, then A, B and C
together can do the work in
1 3
a. 13
days b. 15 days c. 20 days d. 30 days

• A and B can complete a work in 15 days and 10
  days respectively. They started doing the work
  together but after 2 days B had to leave and A
  alone completed the remaining work. The whole
  work was completed in
• 8 days b. 10 days c. 12 days d. 15 days
• A and B can do a piece of work in 30 days, while
  B and C can do the same work in 24 days and C and
  A in 20 day. They all work together for 10 days
  when B and C leave. How many days more will A
  take to finish the work?
• 18 days b. 24 days c. 30 days d. 36 days
• A, B and C are employed to do a piece of work for
  Rs.529. A and B together

19 23
8 23
are supposed to do
of the work and B and C together
of the work. What
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• amount should A be paid?
• a. Rs.315 b. Rs.345 c. Rs.355 d. Rs.375
• A and B together can complete a work in 12 days.
  A alone can complete it in 20 days. If B does the
  work only for half a day daily, then in how many
  days A and B together will complete the work?
• 10 days b. 11 day c. 15 days d. 20 days
• Twenty women can do a work in sixteen days.
  Sixteen men can complete the same work in
  fifteen days. What is the ratio between the
  capacity of a man and woman?
• 3 4 b. 4 3 c. 5 3 d. Data inadequate
• 12 men can complete a piece of work in 4 days,
  while 15 women can complete the same work in 4
  days. 6 men start working on the job and after
  working for 2 days, all of them stopped
  working. How many women should be put on
  the job complete the remaining work, if it is to
  be completed in 3 days?
• 15 b. 18 c. 22 d. None of these

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