Time and Work MCQs for Competitive Examination
Solve the following problems.
Q. 21
A, B and C can work together for Rs 550. A and B together are to do (7/11) of the work. The share of C should be
(A) Rs 200
(B) Rs 300
(C) Rs 400
(D) Rs 450
Answer: (A) Rs 200
Explanation: N/A
Q. 22
A and B undertake a piece of work for Rs 250. A alone can do that work in 5 days and B alone can do that work in 15 days. With the help of C, they finish the work in 3 days. If every one gets paid in proportion to work done by them, the amount C will gets is
(A) Rs 50
(B) Rs 100
(C) Rs 150
(D) Rs 200
Answer: (A) Rs 50
Explanation: N/A
Q. 23
x can copy 80 pages in 20 hours, x and y together can copy 135 pages in 27 hours. Then y can copy 20 pages in
(A) 20 hours
(B) 3 hours
(C) 24 hours
(D) 12 hours
Answer: (A) 20 hours
Explanation: N/A
Q. 24
A has done (1/2) of a job in 30 days. B completes the rest of the job in 45 days. In how many days can they together do the job?
(A) 18 days
(B) 48 days
(C) 27 days
(D) 36 days
Answer: (D) 36 days
Explanation: N/A
Q. 25
A and B do (3/5) the part of a work and the rest of the work is completed by C. If A, B and C take the same work for Rs 5000, then what is the share of C?
(A) Rs 3000
(B) Rs 2500
(C) Rs 2000
(D) Rs 1500
Answer: (C) Rs 2000
Explanation: N/A
Q. 26
A is 1.5 times efficient than B, therefore, takes 8 days less than B to complete a work. If A and B work on alternate days and A works on the first day, then in how many days the work will be completed?
(A) 17 days
(B) 19 days
(C) 19.5 days
(D) 21 days
Answer: (B) 19 days
Explanation: N/A
Q. 27
Akka can bake 100 cakes in 20 hours, Akka and Tai together can bake 75 cakes in 10 hours. How many cakes Tai can bake in 20 hours?
(A) 25
(B) 50
(C) 30
(D) 75
Answer: (B) 50
Explanation: N/A
Q. 28
A and B can do a given piece of work in 8 days, B and C can do the same work in 12 days and A, B, C complete it in 6 days. The number of days required to finish the work by A and C is
(A) 8 days
(B) 16 days
(C) 12 days
(D) 24 days
Answer: (A) 8 days
Explanation: N/A
Q. 29
B would have taken 10 hours more than what A would have taken to complete a task if each of them worked alone. Working together they can complete the task in 12 hours. How many hours would B take to do 50% of the task?
(A) 20
(B) 10
(C) 15
(D) 30
Answer: (C) 15
Explanation: N/A
Q. 30
Rohan and Mohit together can build a wall in 8 days. Mohit and Vikas can build the same wall in 10 days and Vikas and Rohan can build the same wall in 12 days. In how many days can all the three complete the same wall while working together?
(A) 240/37
(B) 120/37
(C) 150/37
(D) 180/37
Answer: (A) 240/37
Explanation: N/A
Q. 31
A and B can complete a task in 25 days. B alone can complete 33(1/3)% of the same task in 15 days. In how many days can A alone complete (4/15) th of the same task?
(A) 15
(B) 10
(C) 18
(D) 12
Answer: (A) 15
Explanation: N/A
Q. 32
The ratio of the efficiencies of A, B and C is 2 : 5 : 3. Working together, they can complete a work in 27 days, B and C together can complete (4/9)the part of that work in
(A) 27 days
(B) 15 days
(C) 17(1/2) days
(D) 24 days
Answer: (B) 15 days
Explanation: N/A
Q. 33
The efficiencies of A, B and C are in the ratio 4 : 5 : 6. Working together they can complete a work in 12 days. In how many days will A alone be able to complete that work?
(A) 45 days
(B) 36 days
(C) 30 days
(D) 40 days
Answer: (A) 45 days
Explanation: N/A
Q. 34
36 persons working 8 hours a day can do 3 units of work in 12 days. How many persons are required to do 5 units of that work in 16 days, if they work for 6 hours a day?
(A) 50
(B) 55
(C) 60
(D) 70
Answer: (C) 60
Explanation: N/A
Q. 35
Three painters have to spend 6 hours a day for 12 days to finish a work. If after 3 days one painter leaves, in how many days the remaining work will be completed?
(A) 15(2/3)
(B) 13(1/2)
(C) 11
(D) 8
Answer: (B) 13(1/2)
Explanation: N/A
Q. 36
24 persons working 8 hours a day can complete 2 units of a work in 10 days. How many persons are required to complete 4 units of that work, if they work 6 hours a day for 16 days?
(A) 48
(B) 36
(C) 40
(D) 32
Answer: (C) 40
Explanation: N/A
Q. 37
A can do a piece of work alone in 8 days. B can do the same work alone in 21 days. If they work together for 3 days, then how much work is completed?
(A) 29/67
(B) 31/65
(C) 27/64
(D) 29/56
Answer: (D) 29/56
Explanation: N/A
Q. 38
P and Q together can complete a work in 105 days. Q and R together can complete the same work in 90 days. P and R together can complete the same work in 126 days. In how many days P, Q and R together can complete the same work?
(A) 70 days
(B) 74 days
(C) 76 days
(D) 72 days
Answer: (A) 70 days
Explanation: N/A
Q. 39
A alone can complete a work in 14 days and B alone can complete the same work in 21 days. A and B start the work together but A leaves the work after 4 days of the starting of work. In how many days B will complete the remaining work?
(A) 9 days
(B) 16 days
(C) 12 days
(D) 11 days
Answer: (D) 11 days
Explanation: N/A
Q. 40
Two teachers A and B can complete an academic work in 10 days and 15 days respectively. They started the work together, but A left after 5 days and another teacher C joined, who alone can complete the work in 60 days. In how many days the work got completed?
(A) 7
(B) 5
(C) 6
(D) 2
Answer: (A) 7
Explanation: N/A