Work and Time (SSC) (Part-6)

Total Questions: 49

1. To do a certain task X would take 3 times as long as Y and Z together; and Z would takes 4 times as long as Y and X together. Three of them together can complete the task in 10 days. How much time is taken by X and Z to complete the task? [SSC CPO 09/11/2022 (Morning)]

Correct Answer: (d)
Solution:

2. A group of men committed to completing a task in 20 days. The work was completed in 40 days because 5 workers did not come for work. Determine the number of men who originally agreed to do the work. [SSC CPO 11/11/2022 (Morning)]

Correct Answer: (b) 10
Solution:

3. A alone can do a work in 14 days. B alone can do the same work in 28 days. C alone can do the same work in 56 days. They start the work together and completed the work such that B was not working on last 2 days and A did not work in last 3 days. In how many days (total) was the work completed? [SSC CGL Tier II (08/08/2022)]

Correct Answer: (d)
Solution:

4. A alone can do a work in 11 days. B alone can do the same work in 22 days. C alone can do the same work in 33 days. They work in the following manner: [SSC CGL Tier II (08/08/2022)]

Day 1 : A and B work.
Day 2 : B and C work.
Day 3 : C and A work.
Day 4 : A and B work. And so on.
In how many days will the work be completed?

Correct Answer: (a) 9
Solution:

5. On a construction site, Pankaj and Tarun are two workers who have been assigned to break the stones for flooring. Pankaj can complete the work alone in 16 h, while Tarun will take 24 h. They decided to work alternate hours so that they can take rest in between. Pankaj starts in the first hour and then Tarun and so on. In how many hours will they complete the work together if they work on the basis of alternate hours? [Graduate Level 03/08/2022 (Shift - 3)]

Correct Answer: (b) 19
Solution:

6. Anjali is designing a wall for a social cause. In 14 days, she completed 7/11 of the work. In how many days will she complete the remaining work ? [Graduate Level 04/08/2022 (Shift - 4)]

Correct Answer: (d) 8
Solution:

7. A, B and C can complete a piece of work in 3 days, 4 days and 6 days, respectively. They get Rs.432 for completing the job. If A, B and C work together to complete the job, A’s share is: [Higher Secondary 01/08/2022 (Shift - 3)]

Correct Answer: (b) Rs.192
Solution:

8. Suppose every three adults consume 2 litres of milk, 0.5 kg sugar every day and the daily consumption of every five children is double the milk and half of the sugar than what the three adults consume. A family has 5 adults and 8 children. Their expenditure on milk and sugar, for a month of 30 days, if half-litre milk packets costs Rs.25 and one kg sugar packet costs Rs.80, is ________. [Higher Secondary 02/08/2022 (Shift - 2)]

Correct Answer: (b) Rs.17,560
Solution:


9. If machine A and B can produce 800 units in 3 hours and 8 hours, respectively, in how many hours can machine A and B working together at these constant rates produce 800 units? [Higher Secondary 05/08/2022 (Shift - 2)]

Correct Answer: (c)
Solution:

10. A piece of work can be completed by P and Q together in 24 days, and the same piece of work can be completed by R alone in 60 days. If P and R together can do the same work in 36 days, then find the time taken by Q to complete this piece of work alone. [SSC MTS 11/07/2022 (Evening)]

Correct Answer: (d)
Solution: