Time And work – Set 10

Time and work related questions are very important for competitive exams with usually 2-3 questions coming from this section. We will be coming up with over 20 sets on time and work set problems for your practice.

Q1. A is thrice as good a workman as B, therefore, A is able to finish a piece of work in 60 days less that B. The time (in days) in which they can do it working together is:
(a) 22
(b) 22 1/2
(c) 23
(d) 23 1/4
(e) None of these

Q2. A and B working separately can do a piece of work in 9 and 12 days, respectively. If they work for a day alternately with A beginning, the work would be complete in:
(a) 10 2/3 days
(b) 10 1/2 days
(c) 10 1/4 days
(d) 10 1/3 days
(e) None of these

Q3. A can do a piece of work in 24 days, B in 32 days and C in 64 days. Everyone begin to do it together, but A leaves after 6 days B leaves 6 days before the completion of the work. How many days did the work last?
(a) 15
(b) 20
(c) 18
(d) 30
(e) None of these

Q4. A, B and C have to type 506 pages to finish an assignment. A can type a page in 12 minutes, B in 15 minutes and C in 24 minutes. If they divide the task into three parts so that all three of equal amount of time in typing, what is the number of pages that B should type?
(a) 172
(b) 176
(c) 154
(d) 168
(e) 164

Q5. If A works alone, he would take 4 days more to complete the job than if both A and B worked together. If B worked alone, he would take 16 days more to complete the job than if A and B work together. How many days would they take to complete the work if both of them worked together?
(a) 10 days
(b) 12 days
(c) 6 days
(d) 8 days
(e) None of these

SOLUTIONS:

1.B
2.C
3.B
4.B
5.D