Quantitative Aptitude

Time and Work

2,195 Questions
All Pairwise rates and staged schedules 440 Workers-days-hours chain rule 439 LCM units and efficiency ratios 409 Different worker categories 311 Combined rates and an unknown worker 257 Division of wages 219 Alternate work 110 Opposing rates 10

Time and Work Questions

Multiple choice

Passage

Directions: Read the following information and answer the given question. A, B, C and D are working in a team to complete a project in 5 days. A and B together can complete the work in 10 days, C alone can complete the work in 15 days and A and D together can complete the work in 20 days.

If C and D can complete their work alone in 5 days before their estimated time due to their increased efficiency, then how many days are all these four persons going to take to complete the whole project work together?

  1. 6.25 days

  2. 14.2 days

  3. 4.17 days

  4. 7.18 days

  5. None of the above
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice

Passage

Directions: Read the following information and answer the given question. Reema, Mahesh and Suresh are working as a team to complete a treasure hunt task in fun activities organised during college fest. Reema takes 5 more days than Mahesh and 9 more days than Suresh. Reema and Mahesh together can complete the project in the same time as Suresh.

Reema, Mahesh and Suresh all worked together for one day. After this, the least efficient person from the group left and the remaining task is completed by two persons only. Keeping this condition in mind, calculate the time in which the task would be completed.

  1. 2 days

  2. 3 days

  3. 2.5 days

  4. 3.5 days

  5. 4 days
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let M be Mahesh's days, R = M+5, S = M-4. Reema and Mahesh together: 1/(M+5) + 1/M = 1/(M-4). Solving this gives M = 10. So R=15, M=10, S=6. Total work = 30 units. Rates: R=2, M=3, S=5. Total rate = 10. After 1 day, 10 units done, 20 left. Least efficient (Reema) leaves. Remaining: M+S = 8. Time = 20/8 = 2.5 days. Total time = 1 + 2.5 = 3.5 days.

Multiple choice

Passage

Directions : Study the following information and answer the question. A company has assigned grades to its workers according to their capability, i.e. grades A, B and C. The total number of workers in the company is 120. I. The grade A workers can complete the project alone in 120 hours. The ratio of the number of grade A workers to that of grade B workers is 3 : 5. II. The grade B workers are half as efficient as the grade A workers. The number of grade B workers is 16 less than that of grade C workers. III. The grade C workers are half as efficient as the grade B workers. The total number of workers of grades B and C is 96.

On what day of the week will the project be finished if all the workers work together, given that the working days are from Monday to Friday and there are 8 working hours in a day? It is also given that the project starts on Friday.

  1. Wednesday

  2. Thursday

  3. Monday

  4. Friday

  5. Tuesday
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice

Passage

Directions: Read the given passage carefully and answer the question that follows. Widget Works Inc. specialises in manufacturing widgets used in various industries. The company has recently secured a significant order from a prominent technology conglomerate. Widget Works Inc. has a tight deadline of just 7 days to produce the required quantity of widgets. The workforce consists of 8 employees on the first day and 10 employees on the seventh day to meet the production demands. The number of employees on any given day, starting from the second day, is either one more or one less than the preceding day's workforce. Each employee works for 6 hours daily, and they produce an equal number of widgets per hour. The company offers a standard wage rate of Rs. 300 per hour to each employee.

How many employees worked on this order on the fourth day, if the total amount spent by the company on the wages for this order was Rs. 1,27,800?

  1. 8

  2. 9

  3. 10

  4. 11

  5. 12
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total wages = 1,27,800. Wage per hour = 300. Total hours = 1,27,800 / 300 = 426. Each employee works 6 hours, so total man-days = 426 / 6 = 71. Let x be the number of employees on day 4. The sequence of employees is 8, 9, 10, 11, 10, 9, 10 (sum=67) or similar variations. Solving for the sum of 7 days to equal 71 leads to 11 on the 4th day.

Multiple choice

Passage

DIRECTIONS: Study the information carefully and answer the adjacent questions. In ABC pharmaceuticals, the process of drug manufacturing consists of four operations – Milling (2, 5), Granulation (3, 5), Coating (3, 6) and Tablet pressing (3, 6). The numbers in brackets represent the minimum and the maximum time (both in hours) required to complete the operation. The following table gives the names of ten people to whom these four operations were assigned. The operations could be done in any order. In the table, '1' represents the operation which was assigned to the person while '0' represents the operation which was not assigned to that person. Further it is known that, (I) The time taken (in hours) for the completion of any operation is an integer. (II) No person could indulge into two different operations at the same time. (III) Any operation, once started by a person, could be completed only by him/her.

If, on a day, every person started the operation simultaneously, what could be the maximum possible number of persons who could have completed all the operations assigned to them in the next five hours?

  1. 3

  2. 5

  3. 6

  4. 4
Reveal answer Fill a bubble to check yourself
D Correct answer