SSC CGL Time and Work Questions
19 questions on Time and Work for SSC CGL, including questions from 2024 papers. Each comes with the correct answer and a worked explanation.
- Questions
- 19
- Moderate
- 19
Time and Work questions with solutions
Riya can complete a piece of work in 12 days and Neha can complete the same work in 24 days. In how many days will they finish it working together?
- (A)7 days
- (B)10 days
- (C)12 days
- (D)8 days
Show answer and explanation
Correct answer: (D) 8 days
Riya's one-day work = 1/12 and Neha's one-day work = 1/24. Together they do 1/12 + 1/24 = 36/288 = 1/8 of the work per day, so the work is finished in 8 days.
Shortcut: Days together = (a × b)/(a + b) = 288/36 = 8.
Manoj can complete a piece of work in 6 days and Divya can complete the same work in 12 days. In how many days will they finish it working together?
- (A)3 days
- (B)6 days
- (C)9 days
- (D)4 days
Show answer and explanation
Correct answer: (D) 4 days
Manoj's one-day work = 1/6 and Divya's one-day work = 1/12. Together they do 1/6 + 1/12 = 18/72 = 1/4 of the work per day, so the work is finished in 4 days.
Shortcut: Days together = (a × b)/(a + b) = 72/18 = 4.
Karan can complete a piece of work in 12 days and Neha can complete the same work in 36 days. In how many days will they finish it working together?
- (A)8 days
- (B)11 days
- (C)24 days
- (D)9 days
Show answer and explanation
Correct answer: (D) 9 days
Karan's one-day work = 1/12 and Neha's one-day work = 1/36. Together they do 1/12 + 1/36 = 48/432 = 1/9 of the work per day, so the work is finished in 9 days.
Shortcut: Days together = (a × b)/(a + b) = 432/48 = 9.
Sneha can complete a piece of work in 20 days and Vikram can complete the same work in 80 days. In how many days will they finish it working together?
- (A)16 days
- (B)50 days
- (C)15 days
- (D)18 days
Show answer and explanation
Correct answer: (A) 16 days
Sneha's one-day work = 1/20 and Vikram's one-day work = 1/80. Together they do 1/20 + 1/80 = 100/1600 = 1/16 of the work per day, so the work is finished in 16 days.
Shortcut: Days together = (a × b)/(a + b) = 1600/100 = 16.
Anita can complete a piece of work in 15 days and Amit can complete the same work in 60 days. In how many days will they finish it working together?
- (A)45 days
- (B)14 days
- (C)11 days
- (D)12 days
Show answer and explanation
Correct answer: (D) 12 days
Anita's one-day work = 1/15 and Amit's one-day work = 1/60. Together they do 1/15 + 1/60 = 75/900 = 1/12 of the work per day, so the work is finished in 12 days.
Shortcut: Days together = (a × b)/(a + b) = 900/75 = 12.
Suresh can complete a piece of work in 24 days and Manoj can complete the same work in 40 days. In how many days will they finish it working together?
- (A)16 days
- (B)15 days
- (C)32 days
- (D)17 days
Show answer and explanation
Correct answer: (B) 15 days
Suresh's one-day work = 1/24 and Manoj's one-day work = 1/40. Together they do 1/24 + 1/40 = 64/960 = 1/15 of the work per day, so the work is finished in 15 days.
Shortcut: Days together = (a × b)/(a + b) = 960/64 = 15.
Amit can complete a piece of work in 6 days and Karan can complete the same work in 12 days. In how many days will they finish it working together?
- (A)6 days
- (B)4 days
- (C)3 days
- (D)9 days
Show answer and explanation
Correct answer: (B) 4 days
Amit's one-day work = 1/6 and Karan's one-day work = 1/12. Together they do 1/6 + 1/12 = 18/72 = 1/4 of the work per day, so the work is finished in 4 days.
Shortcut: Days together = (a × b)/(a + b) = 72/18 = 4.
Karan can complete a piece of work in 30 days and Suresh can complete the same work in 60 days. In how many days will they finish it working together?
- (A)19 days
- (B)20 days
- (C)22 days
- (D)30 days
Show answer and explanation
Correct answer: (B) 20 days
Karan's one-day work = 1/30 and Suresh's one-day work = 1/60. Together they do 1/30 + 1/60 = 90/1800 = 1/20 of the work per day, so the work is finished in 20 days.
Shortcut: Days together = (a × b)/(a + b) = 1800/90 = 20.
Divya can complete a piece of work in 18 days and Vikram can complete the same work in 36 days. In how many days will they finish it working together?
- (A)12 days
- (B)14 days
- (C)27 days
- (D)18 days
Show answer and explanation
Correct answer: (A) 12 days
Divya's one-day work = 1/18 and Vikram's one-day work = 1/36. Together they do 1/18 + 1/36 = 54/648 = 1/12 of the work per day, so the work is finished in 12 days.
Shortcut: Days together = (a × b)/(a + b) = 648/54 = 12.
Riya can complete a piece of work in 14 days and Rahul can complete the same work in 35 days. In how many days will they finish it working together?
- (A)21 days
- (B)12 days
- (C)24.5 days
- (D)10 days
Show answer and explanation
Correct answer: (D) 10 days
Riya's one-day work = 1/14 and Rahul's one-day work = 1/35. Together they do 1/14 + 1/35 = 49/490 = 1/10 of the work per day, so the work is finished in 10 days.
Shortcut: Days together = (a × b)/(a + b) = 490/49 = 10.
Rahul can complete a piece of work in 15 days and Amit can complete the same work in 30 days. In how many days will they finish it working together?
- (A)12 days
- (B)10 days
- (C)15 days
- (D)9 days
Show answer and explanation
Correct answer: (B) 10 days
Rahul's one-day work = 1/15 and Amit's one-day work = 1/30. Together they do 1/15 + 1/30 = 45/450 = 1/10 of the work per day, so the work is finished in 10 days.
Shortcut: Days together = (a × b)/(a + b) = 450/45 = 10.
Riya can complete a piece of work in 20 days and Karan can complete the same work in 80 days. In how many days will they finish it working together?
- (A)50 days
- (B)18 days
- (C)15 days
- (D)16 days
Show answer and explanation
Correct answer: (D) 16 days
Riya's one-day work = 1/20 and Karan's one-day work = 1/80. Together they do 1/20 + 1/80 = 100/1600 = 1/16 of the work per day, so the work is finished in 16 days.
Shortcut: Days together = (a × b)/(a + b) = 1600/100 = 16.
Neha can complete a piece of work in 24 days and Riya can complete the same work in 40 days. In how many days will they finish it working together?
- (A)32 days
- (B)14 days
- (C)17 days
- (D)15 days
Show answer and explanation
Correct answer: (D) 15 days
Neha's one-day work = 1/24 and Riya's one-day work = 1/40. Together they do 1/24 + 1/40 = 64/960 = 1/15 of the work per day, so the work is finished in 15 days.
Shortcut: Days together = (a × b)/(a + b) = 960/64 = 15.
Karan can complete a piece of work in 45 days and Vikram can complete the same work in 90 days. In how many days will they finish it working together?
- (A)45 days
- (B)67.5 days
- (C)32 days
- (D)30 days
Show answer and explanation
Correct answer: (D) 30 days
Karan's one-day work = 1/45 and Vikram's one-day work = 1/90. Together they do 1/45 + 1/90 = 135/4050 = 1/30 of the work per day, so the work is finished in 30 days.
Shortcut: Days together = (a × b)/(a + b) = 4050/135 = 30.
Divya can complete a piece of work in 36 days and Sneha can complete the same work in 45 days. In how many days will they finish it working together?
- (A)22 days
- (B)40.5 days
- (C)20 days
- (D)9 days
Show answer and explanation
Correct answer: (C) 20 days
Divya's one-day work = 1/36 and Sneha's one-day work = 1/45. Together they do 1/36 + 1/45 = 81/1620 = 1/20 of the work per day, so the work is finished in 20 days.
Shortcut: Days together = (a × b)/(a + b) = 1620/81 = 20.
Showing 15 of 19 questions. Start a practice set above to work through the rest.
Frequently asked questions
How many SSC CGL Time and Work questions can I practise here?
19 questions — 19 moderate. 15 are shown on this page with answers and explanations, and the practice set draws from all of them.
How should I practise Time and Work for SSC CGL?
Read through a few solved questions first to see the method, then take a timed practice set. Afterwards, check which questions you got wrong or spent longest on and redo those before moving on.