Wednesday, September 4, 2024

Time And Work Question

 type-1


 1-A can do a work in 6 days and B in 9 days. How many days will both take
    together to complete the work?
   (1)3.6 days           (2)4.6 days

   (3)5.6 days           (4)6.6 days

2-A, B and C individually can do a work in 10 days, 12 days and 15 days respectively.
    If they start working together, then the no of days required to finish the work is:
  

(1) 16 days       (2) 8  days

(3) 4 days        (4) 2  days

3- A and B can do a work in 12 days ,B and C in 15 days and C and A in 20 days.
    If A, B and C work together, they will complete the work in:

     (1) 5 days          (2) 7 days
   
     (3)10 days          (4)12 days

4-A and B can do a work in 72 days ,B and C in 120 days and C and A in 90 days.
    If A, B and C work together, they will complete the work in:

(1) 50 days       (2) 60 days

(3) 70 days        (4) 80 days

5- A can do a work in 4 hours, B and C in 3 hours, C and A in 2 hours.
    How long will B alone take to do it?

(1) 10 hours            (2) 12 hours

(3) 8 hours             (4) 24 hours

6- A and B can do a work in 8 days, B and C in 12 days. All of three together
 can complete the work in 6 days. In how much time will A and c together complete the work?

(1) 8 days       (2) 10 days

(3) 12 days        (4) 20 days

 7-A can do a work in 'm' days and B in 'n' days. How many days will both take
    together to complete the work?

(1) (m + n) days       (2) (m-n) days

(3) (m + n) / mn days        (4) mn / (m+n) days

 8- A can do as much work as B and C together can do. A and B can together do
a piece of work in 9 hours 36 minutes and C can do it in 48 hours. The time ( in
hours ) that B needs to do the work alone, is:


(1) 18 days       (2) 24 days

(3) 30 days        (4) 12 days

9- Three men A, B and C working together can do a job in 6 hours less time then
    A alone, in 1 hour less time then B alone and in one half  the time needed by C
   when working alone. Then A and B together can do the job in:

(1) 2/3 hours            (2) 3/4 hours

(3) 3/2 hours             (4) 4/3 hours

10- A takes three times as long as B and C together to do a job. B takes four times as
     long as A and C together  to do the work. If all the three, working together can
complete the job in 24 days, then the no of days, A alone will take to finish the job is:

(1)  100              (2) 96

(3) 95                (4) 90



ANS:-

  1- 1       2- 3       3 -3      4-2       5-2       6- 1       7- 4        8-2          9-4          10-2


type- 2

1- A and B can do a work in 18 and 24 days respectively. They
worked together for 8 days and then A left. The remaining work
was finished by B in:

(1) 15/3                    (2) 16/3

(3)   17/3                       (4) 18/3


2- A can do a piece of work in 12 days and B can do it in 18 days.
They work together for 2 days and then A leaves.How long will B
take to finish the remaining work?

(1) 6   days                  (2) 8  days

(3) 10  days                     (4) 13 days

3-A and B can so a job in 6 and 12 days respectively.
They began the work together but A leaves after 3 days.
Then the total number of days needed for the completion
of the work is:

(1) 4  days                   (2) 6  days

(3)  5  days                    (4) 9  days

4-A and B can do a piece of work in 30 days while B and C q can do
the same work in 24 days and C and A in 20 days. They all work together
for 10 days when B and C leave. How many days more will A take to finish
the work ?

(1) 18  days                   (2) 24  days

(3) 30   days                    (4) 36  days

5- 8 men can do a work in 12 days. After 6 days of work, 4 more men
were engaged to finish the work. In how many days would the remaining
work be completed ?

(1) 2  days                    (2) 3 days

(3) 4 days                      (4) 5 days

6-A certain no of person can complete the work in 55 days.
If there were 6 person more, the work could be finish in 11 days less.
How many person were originally there ?

(1) 17 days                    (2) 24 days

(3)  30 days                     (4) 22 days

7- A and B can do a piece of work in 10 days and 15 days
respectively. If they work on Alternatively days beginning
with A, in how many days will the work be completed ?

(1) 18 days                    (2) 13 days

(3) 12 days                      (4) 6 days

8- A and B can do a piece of work in 28 and 35 days respectively.
They began to work together but A leaves after some time and
B completed remaining work in 17 days. After how many days
did A leaves ??

(1) 6 days                    (2) 7 days

(3) 8 days                      (4) 9 days

9- A man and a boy can complete a work together in 24 days.
If for the last 6 days man alone does the work it is completed
in 26 days. How many days boy alone complete the work?

(1) 72  days                    (2) 20 days

(3) 24 days                      (4) 36 days

10- A can complete a piece of work in 10 days, B in 15 days
and C in 20 days. A and C work together for 2 days and
then A was replaced by B. In how many days all together ,
was the work completed ?

(1) 12 days                    (2)10 days

(3) 6 days                      (4) 8 days

11- If 12 men or 24 boys can do a work in 66 days ,
the number of days in which 15 men and 6 boys
can do it is :

(1) 44 days                    (2) 33 days

(3) 55  days                  (4) 66 days



ANS:-

  1- 2        2-4        3 -3      4- 1      5- 3      6- 2         7-3         8-3         9- 1         10-4            
11-1         12-

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