Quantitative Aptitude

Time, Work, and Projects

190 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 piece of work can be finished by 12 men in 12 days, whereas it takes 16 women 12 days to finish the same work. If 18 men and 8 women undertake the responsibility to complete the work, how many days will it take them to complete it?

  1. 7 days

  2. 6 days

  3. 24 days

  4. 5 days

  5. 8 days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

 It is clear that 12 men = 16 women or 3 men = 4 women.  Therefore, 18 men + 8 women =18 * (4 / 3) women + 8 women  = 24 + 8 = 32 women 
Now, 16 women can complete the work in 12 days. So, 32 women will do it in 6 days. ((12 * 16) / 32 = 6 days).  It is the correct answer.

Multiple choice

A can do a work in 4 days. B completes the same work in 8 days. C takes as long as A and B would take if they worked together. How long will it take B and C to complete the work if they work together?

  1. 3 days

  2. 12/5 days

  3. 32/3 days

  4. 8/3 days

  5. 2 days
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

(A + B) can do the work in (4 * 8) / (4 + 8) = 32/12 = 8/3 days

Therefore, C takes 8/3 days to complete the work. So, (B + C) takes ((8/3) * 8)/((8/3) + 8) = 64/32 = 2 days. It is the correct answer.

Multiple choice

A can do a piece of work in 18 days and B can do the same work in 24 days. They finished the work with the assistance of C in 6 days and got Rs. 51 as their wage. Find the share of B in the wage?

  1. Rs. 11.25

  2. Rs. 17

  3. Rs. 12.75

  4. Rs. 11.75

  5. Rs. 21.25
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A did 1/3th of the workin 6 days. B completed 1/4th of the work in 6 days. Work completed by C in 6 days = 1 - (1/3) + (1/4) = 5/12th of the work Since A, B and C did the work in 6 days 1/3th, 1/4th, 5/12th of the work, respectively. A's share = Rs 51 * (1 / 3) = Rs. 17 B's share = Rs 51 * (1 / 4) = Rs. 12.75 C's share = Rs 51 * (5 / 12) = Rs. 21.25. So B's share is Rs 12.75. It is the correct answer.

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.