Work and Time (SSC) (Part-5)

Total Questions: 50

21. Suresh alone can do a work in 10 days working 1 hour a day. Shalu alone can do the same work in 2 days working 5 hours a day. How many hours do they need to work together in a day to complete the same work in 10 days ? [SSC MTS 08/05/2023 (Afternoon)]

Correct Answer: (b) 0.5 hours
Solution:


22. A and B working together can complete a job in 90 days. The ratio of their efficiencies is 3 : 5. In how many days can the faster person complete the job ? [SSC MTS 09/05/2023 (Afternoon)]

Correct Answer: (c) 144
Solution:

23. A, B and C are assigned to complete a work. If the ratio of time taken by A, B and C is 4 : 3 : 6. Find the ratio of their efficiency. [SSC MTS 10/05/2023 (Evening)]

Correct Answer: (a) 3 : 4 : 2
Solution:

24. There are 1200 men in a group. They have food for 80 days. After 5 days, 400 men left the group. Remaining food will last for how many days ? [SSC MTS 12/05/2023 (Afternoon)]

Correct Answer: (d) 112.5 days
Solution:

25. X can do a piece of work alone in 15 days while Y alone can do it in 10 days. They worked together for 3 days and the remaining work is finished by Z in 1 day. If they get paid Rs.4000 for the entire work, then what is the share of Z ? [SSC MTS 12/05/2023 (Evening)]

Correct Answer: (a) Rs.2000
Solution:

26. A alone can complete a work in 25 days and B alone can complete the same work in 50 days. If both of them work together, then in 9 days what percent work of the total work will be completed ? [SSC MTS 17/05/2023 (Evening)]

Correct Answer: (d) 54 %
Solution:

27. X alone can finish a work in 18 days. Y alone can finish the same work in 9 days. If X, Y and Z together can finish the same work in 4 days, then in how many days Z alone can finish the work ? [SSC MTS 18/05/2023 (Morning)]

Correct Answer: (a) 12
Solution:

28. Mohit and Rohit undertook a work for Rs. 2200. Mohit alone can do that work in 10 days and Rohit alone can do the same work in 12 days. If they work together, then what will be the difference in the amount they receive? [SSC MTS 13/06/2023 (Afternoon)]

Correct Answer: (b) Rs. 200
Solution:

29. P, Q and R alone can do a piece of work in 5, 6 and 4 days respectively. All three of them began the work together but Q left 1 days before completion of the work. In how many days was the work completed? [SSC MTS 15/06/2023 (Afternoon)]

Correct Answer: (a)
Solution:

30. B and C can complete a work alone in 10 days and 30 days respectively. They began the work together but B left the work after some days and C completed the remaining work in 10 days. After how many days from the beginning B left the work ? [SSC MTS 15/06/2023 (Evening)]

Correct Answer: (d) 5
Solution: