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

A contractor gives Rs. 2000 for building a wall. If A can build the wall in 10 days and B can build it in 40 days, then find the amount B would get if he worked only for 5 days.

  1. Rs. 100

  2. Rs. 250

  3. Rs. 800

  4. Rs. 1000

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The total payment is for the whole job. A's rate is 1/10, B's rate is 1/40. Working together, their combined rate is 1/10 + 1/40 = 5/40 = 1/8. The job takes 8 days. B's share is proportional to his work contribution. B works for 5 days at rate 1/40, so B does 5/40 = 1/8 of the work. B's payment = 1/8 * 2000 = 250.

Multiple choice

A team of 16 women and 6 men can complete a baking assignment in 20 days, while another team with 20 women and 16 men can do the same assignment in 12 days. Calculate the time taken by 15 women and 15 men to do the same assignment.

  1. 10 days

  2. 14.32 days

  3. 15.45 days

  4. 20 days

  5. NA
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let W be work of a woman, M be work of a man. 20(16W + 6M) = 12(20W + 16M). 320W + 120M = 240W + 192M. 80W = 72M => 10W = 9M. Total work = 20(16W + 6(10/9)W) = 20(16W + 6.66W) = 453.33W. New team = 15W + 15M = 15W + 15(10/9)W = 15W + 16.66W = 31.66W. Days = 453.33 / 31.66 = 14.32.

Multiple choice

A project can be finished by a team of 4 women and 6 men by a day more than a week, while another team of 3 women and 7 men can finish the same project in 10 days. Calculate the days to be taken, if another team of only 10 men are made to complete the job.

  1. 40 days

  2. 36 days

  3. 21 days

  4. 14 days

  5. Na
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let W and M be the work done by one woman and one man per day. From the problem, 4W + 6M = 1/8 and 3W + 7M = 1/10. Solving this system gives M = 1/400, meaning 10 men take 40 days to complete the work.

Multiple choice

Directions: Study the given information carefully and answer the question that follows. Sachin takes up a project to be completed in 20 days. It requires 5 men to work continuously through all the days. Before commencement of the project, Mr. Virat, Sachin's client, informs him that he wants the project to be completed ahead of the given time. So, Sachin figures he will have to increase 5 men every 2 days to meet Mr. Virat's condition. On the day of completion of project (the day specified by Mr. Virat), how many men would be working?

  1. 24

  2. 20

  3. 36

  4. 18

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The project requires 5 men for 20 days (100 man-days). Sachin increases 5 men every 2 days. The sequence of men is 5, 5, 10, 10, 15, 15, 20, 20, 25, 25. The total man-days sum to 125, which exceeds 100. The project finishes when the cumulative sum reaches 100, which occurs during the 16th day, where 20 men are working.

Multiple choice

S, T and U can complete a piece of work in 40, 48 and 60 days, respectively. They receive Rs. 10,800 to complete the work. They begin the work together but T leaves 2 days before the completion of the work and U leaves 5 days before the completion of the work. S completes the remaining work alone. What is the share of S (in Rs.) from the total money?

  1. 4000

  2. 4320

  3. 4500

  4. 4860
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Work rates: S=1/40, T=1/48, U=1/60. Let total time be x. S works for x days, T for x-2, U for x-5. Equation: x/40 + (x-2)/48 + (x-5)/60 = 1. Solving gives x = 18. S worked 18 days. S's share = (18/40) * 10800 = 4860.