Time and Work MCQs for Competitive Examination
Solve the following problems.
Q. 41
If 8 men or 12 boys can do a piece of work in 16 days, the number of days required to complete the work by 20 men and 6 boys is
(A) 8(1/3) days
(B) 7(1/3) days
(C) 6(1/3) days
(D) 5(1/3) days
Answer: (D) 5(1/3) days
Explanation: N/A
Q. 42
If 40 men or 60 women or 80 children can do a piece of work in 6 months, then 10 men, 10 women and 10 children together do half of the work in
(A) 5(6/13) months
(B) 5(7/13) months
(C) 6 months
(D) 11(1/13) months
Answer: (D) 11(1/13) months
Explanation: N/A
Q. 43
If 1 man or 2 women or 3 boys can do a piece of work in 44 days, then the same piece of work will be done by 1 man, 1 woman and 1 boy in
(A) 21 days
(B) 24 days
(C) 26 days
(D) 33 days
Answer: (B) 24 days
Explanation: N/A
Q. 44
A and B together can complete a work in 3 days. They start together. But, after 2 days, B left the work. If the work is completed after 2 more days, B alone could do the work in
(A) 10 days
(B) 4 days
(C) 6 days
(D) 8 days
Answer: (C) 6 days
Explanation: N/A
Q. 45
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) 10 days
(B) 12 days
(C) 15 days
(D) 20 days
Answer: (C) 15 days
Explanation: N/A
Q. 46
A and B together can complete a job in 8 days. Both B and C working alone can finish the same job in 12 days. A and B commence work on the job and work for 4 days, whereupon A leaves. B continues for 2 more days, and then he leaves too. C now starts working, and finishes the job. How many days did C require?
(A) 5
(B) 8
(C) 3
(D) 4
Answer: (D) 4
Explanation: N/A
Q. 47
A, B and C together can do a piece of work in 40 days. After working with B and C for 16 days, A leaves and then B and C completes the remaining work in 40 days more. A alone could do the work in
(A) 80 days
(B) 90 days
(C) 100 days
(D) 120 days
Answer: (C) 100 days
Explanation: N/A
Q. 48
A and B can together finish a work in 30 days. They worked at it for 20 days 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 days
(B) 54 days
(C) 48 days
(D) 50 days
Answer: (A) 60 days
Explanation: N/A
Q. 49
A, B and C can do a piece of work in 24, 30 and 40 days respectively. They began the work together but C left 4 days before completion of the work. In how many days was the work done?
(A)13
(B) 12
(C) 14
(D) 11
Answer: (D) 11
Explanation: N/A
Q. 50
A particular job can be completed by a team of 10 men in 12 days. The same job can be completed by a team of 10 women in 6 days. How many days are needed to complete the job if the two teams work together?
(A) 4 days
(B) 6 days
(C) 9 days
(D) 18 days
Answer: (A) 4 days
Explanation: N/A
Q. 51
While working 7 hours a day, A alone can complete a piece of work in 6 days and B alone in 8 days. In what time would they complete it together, working 8 hours a day?
(A) 3 days
(B) 4 days
(C) 2.5 days
(D) 3.6 days
Answer: (A) 3 days
Explanation: N/A
Q. 52
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 h 30 min
(B) 8 h
(C) 8 h 15 min
(D) 8 h 25 min
Answer: (C) 8 h 15 min
Explanation: N/A
Q. 53
A and B together can dig a trench in 12 days, which A alone can dig in 28 days; B alone can dig it in
(A) 20 days
(B) 21 days
(C) 22 days
(D) 23 days
Answer: (B) 21 days
Explanation: N/A
Q. 54
A can complete a work in ‘m’ days and B can complete it in ‘n’ days. How many days will it take to complete the work if both A and B work together?
(A) (m + n) days
(B) (1/m)(1/m) days
(C) (m + n)/mn days
(D) mn/(m + n) days
Answer: (D) mn/(m + n) days
Explanation: N/A
Q. 55
Three men A, B and C working together can do a job in 6 hours less time than A alone, in 1 hour less time than B alone and in one half the time needed by C when working alone. Then A and B together can do the job in
(A) (2/3) hour
(B) (3/4) hour
(C) (3/2) hour
(D) (4/3) hour
Answer: (D) (4/3) hour
Explanation: Time taken by A alone = x hours (suppose)
Hence, Time taken by A + B + C = (x – 6) hours
Time taken by B alone = (x – 5) hours
Time taken by C alone = 2(x – 6) hours
Now, 1/(x – 6) = 1/x + 1/(x – 5) + 1/2(x – 6)
Hence x = 4/3
Q. 56
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 number of days, A alone will take to finish the job
(A) 100
(B) 96
(C) 95
(D) 90
Answer: (B) 96
Explanation: B and C can do the job in x days
Hence A can do the job in 3x days
Also given that A, B and C can do the job in 24 days
Hence (1/x) + (1/3x) = 1/24
x = 32
Therefore A alone can do the job in 32 * 3 = 96 days
Q. 57
A can do (1/4) of a work in l0 days. B can do (1/3) of the work in 20 days. In how many days can both A and B together do the work?
(A) 30 days
(B) 32 days
(C) 24 days
(D) 25 days
Answer: (C) 24 days
Explanation: N/A
Q. 58
A’s 2 days work is equal to B’s 3 days work. If A can complete the work in 8 days then to complete the work B will take
(A) 14 days
(B) 12 days
(C) 15 days
(D) 16 days
Answer: (B) 12 days
Explanation: N/A
Q. 59
A and B together can do a piece of work in 6 days. If A can alone do the work in 18 days, then the number of days required for B to finish the work is
(A) 10 days
(B) 12 days
(C) 9 days
(D) 15 days
Answer: (C) 9 days
Explanation: N/A
Q. 60
36 men together can build a wall 140 m long in 21 days; the number, of men working at the same rate required to build the same wall in 14 days is
(A) 54
(B) 48
(C) 36
(D) 18
Answer: (A) 54
Explanation: N/A