If 10 bulls can plough 20 identical fields in 3 days working 10 hours a day, then in how many days can 30 bulls plough 32 same identical fields working 8 hours a day?
Correct answer: A. 2
- A. 2
- B. 8
- C. 10
- D. 12
Explanation
The original labour is 10 bulls x 3 days x 10 hours = 300 bull-hours for 20 fields, or 15 bull-hours per field. For 32 fields, the work is 32 x 15 = 480 bull-hours; 30 bulls working 8 hours daily provide 240 bull-hours per day, so the time is 480/240 = 2 days. The likely mistake is 8 days, which fails to adjust for both the increased number of bulls and the shorter working day.
Last updated
About Time and Work
Problems measure work through rates, treating each person's or machine's contribution as work completed per unit time. Questions cover combined work, efficiency, wages, alternate working schedules, pipes and cisterns, and men-days relationships, with care needed to distinguish time taken by one worker from the time required when workers act together.
Practise Arithmetic
1,060 free Arithmetic MCQs from Mathematics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Mathematics questions like this
Mathematics is on 67 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
Related questions
15 men can build a 500m long wall in 30 days. In how many days can 30 men build a 1.2 km long wall?
2 men and 12 women can finish a job in 4 days. 4 men and 6 women can do the same job in 5 days. Find the time taken by 1 man and 1 woman to complete the job.
3 men and 7 women can complete a work in 10 days . But 4 men and 6 women need 8 days to complete the same work . In how many days will 10 women complete the same work?
4 men and 2 woman can complete a work in 2 days. If 2 men alone take 5 days to complete the work, find the time taken by 2 women alone to complete the work.
6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in_______days.