Quantitative Aptitude

Time, Work, and Projects

198 Questions

Time and work questions test the ability to calculate the time required to complete tasks involving individual or combined worker efficiency. These problems frequently appear in competitive exams to assess logical calculation skills. Topics include pipes, cisterns, group efficiency, and hourly work rates.

Combined work efficiencyMen and days calculationsWorker efficiency ratiosWorking hours per dayLeaving and joining workers

Time, Work, and Projects Questions

Multiple choice

A can have a piece of work done in 8 days, B can work three times faster than the A, C can work five times faster than A. How many days will they take to do the work together?

  1. 3 days

  2. 8/9 days

  3. 4 days

  4. can't say

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A takes 8 days, so A's rate = 1/8 work per day. B works 3 times faster, so B's rate = 3/8 work per day. C works 5 times faster, so C's rate = 5/8 work per day. Combined rate = (1+3+5)/8 = 9/8 work per day. Time together = 1 ÷ (9/8) = 8/9 days.

Multiple choice

A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract?

  1. 7

  2. 8

  3. 11

  4. 12

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

 A company contracts to paint 3 houses. Mr.Brown paints in 6 days = 1 house Mr.Brown paints in 1days =1/6 house Mr.Brown paints in 8days =8/6 =4/3 house work left = 3-4/3 = 5/3 house Mr.Black paints in 8 days = 1 house Mr..Black paints in 1days =1/8 house Mr..Black paints in 6days =6/8= 3/4 house work left = 5/3 - 3/4 = 11/12= .Blue paints in 12 days = 1 house .Blue paints in 1 day = 1/12 house Mr. blue will finish 11/12 huse in = (11/12)/12=11 days

Multiple choice

A can do a piece of work in 80 days. He works on it for 10 days and then, B alone finishes the remaining work in 49 days. In how much time will A and B, working together, finish the work?

  1. 31 days

  2. 30 days

  3. 33 days

  4. 40 days

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

Work done by A in 10 days = 10/80 = 1/8 Remaining work = (1-(1/8)) = 7/8 Now, work will be done by B in 49 days. Whole work will be done by B in (49 * 8/7) = 56 days Therefore, A's one day's work = 1/80 B’s one day's work = 1/56(A + B)'s one day's work = 1/80 + 1/56 = 17/560 = 33 days Hence, both will finish the work in 33 days.

Multiple choice

A, B and C complete a piece of work for Rs. 2000. A works for 8 days, B for 9 days and C for 12 days to complete the work. If their daily wages are in the ratio 4 : 5 : 4, what is the share of A?

  1. Rs. 512

  2. Rs. 768

  3. Rs. 675

  4. Rs. 800

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

Daily wages are in the ratio 4 : 5 : 4. Working days of A, B, C = 8, 9 and 12 Wages will be in the ratio 32 : 45 : 48. Share of A = 32/(24 + 45 + 48) × 2000 = Rs. 512

Multiple choice

Three boys solve a question in 8/9 hr. First boy and second boy solves 1/3th part and 1/6th part of the problem in 1/6 hr and 2/3 hr respectively. What is the fraction of the problem and the time left for the third student to solve the complete question?

  1. 1/2th part, 1/18 hr

  2. 1/3th part, 1/36 hr

  3. 1/4th part, 1/9 hr

  4. 1/7th part, 1/27 hr

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

1/2 + 1/3 + 1/6 = 1 also (1/18 + 2/3 + 1/6) h = 8/9 hr. This is correct.

Multiple choice

X and Y can do a job alone in 10 days and 12 days, respectively. X starts the work and after 5 days, Y also joins to finish the work together. For how many days did Y actually work on the job?

  1. 30/13

  2. 30/11

  3. 11/13

  4. 31/13

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

Work done by X in 5 days = 5*1/10 = 1/2 Balance work to be done = 1 - 1/2 = 1/2 (X + Y) 's one day's work = 1/10 + 1/12 = 11/60 Number of days Y worked = 1/2 * 60/11 = 30/11 So, option (2) is correct.

Multiple choice

Pradeep and Dipali can do a piece of work in 10 days if they work together. Dipali alone can do it in 12 days. In how many days can Pradeep do the same work if he work alone?

  1. 40 days

  2. 35 days

  3. 30 days

  4. 60 days

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

Pradeep and Dipali's 1 day's work = 1/10 Dipali's 1 day's work = 1/12 Therefore, Pradeep's 1 day's work = 1/10 - 1/12 = 2/120 = 1/60 Number of days required to do the work by Pradeep = 60 days Hence, this option is correct.

Multiple choice

Salim can do a piece of work in 20 days whereas his friend Akram can do it little faster & both of them finish it in 7.5 days. In how many days will Akram do it alone?

  1. 10 days

  2. 13 days

  3. 12 days

  4. Data inadequate
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

(Work done by both in one day = 1 ÷ 7.5 = 2/15 Work done by Salim in one day = 1/20. Therefore, work done by Akram in one day = 2/15 - 1/20 = 8 - 3/60 = 5/60 = 1/12. Hence Akram alone can do the work in 12 days.)

Multiple choice

A certain work can be finished by 2 men & 3 boys in 5 days whereas 3 men & 2 boys can do it in 4 days. Compare the ratio of the work done by a man with that of a boy.

  1. 4 : 1

  2. 2 : 7

  3. 8 : 3

  4. 7 : 2

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

(2 men + 3 boys can do a job in 5 days, so in one day-5 X (2 men + 3 boys) can do it in one day. Similarly, 4 X (3 men + 2 boys) can do it in one day. Therefore, 5 X (2 men + 3 boys) = 4 X (3 men + 2 boys)2 men = 7 boys. Hence, work ratio = 7 : 2)

Multiple choice

Anand finishes a work in 7 days, Bittu finishes the same job in 8 days and Chandu in 6 days. They take turns to finish the work. Anand on the first day, Bittu on the second and Chandu on the third day and then Anand again and so on. On which day will the work get over?

  1. 3rd

  2. 6th

  3. 9th

  4. 7th
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Work rates: A=1/7, B=1/8, C=1/6. Cycle (3 days) = 1/7 + 1/8 + 1/6 = (24+21+28)/168 = 73/168. After 6 days (2 cycles) = 146/168. Remaining = 22/168. Day 7 (Anand) does 1/7 = 24/168. Since 24/168 > 22/168, work finishes on day 7.