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
  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
  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 รท 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
  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
  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.

Multiple choice
  1. Greg

  2. Dan

  3. Tom

  4. All of the above

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

Greg completed the homework in 15 minutes.

Tom completed the homework in 1 hour, i.e. 60 minutes.
Dan completed the homework in half hour, i.e. 30 minutes. 15 minutes is the shortest time duration. So, Greg completed the homework in the shortest time duration.

Multiple choice
  1. 10 hours

  2. 5/12 days

  3. 5 hours

  4. 5/24 days

  5. None of these

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

Use unitary method ab = 12 = 5 unit out of lcm of time 60 bc =15 = -4ca = 20 = 32abc = 4abc = 2 So, a = 6b = -1c = -3 So, 10 hour = 5 /12 day This is correct.

Multiple choice
  1. 30 days

  2. 30 hours

  3. 5/4 days

  4. 15 hours

  5. 15 days

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

a + b = 5 unit/hour b + c = -4c + a = 32(abc) = 4abc = 2 units in hours means 30 hours to complete = 30/24 days This is correct.

Multiple choice
  1. 5/12 days

  2. 10 hours

  3. 30 days

  4. 5/4 days

  5. 15/4 days

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

in three days, 2 unit of total work = lcm of time = 60 unit So, time taken = 60/2 * 3 = 90 hours This answer is correct.