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SSC CHSL Time and Work Questions

6 questions on Time and Work for SSC CHSL, including questions from 2024 papers. Each comes with the correct answer and a worked explanation.

Questions
6
Moderate
6

Time and Work questions with solutions

Q1.Time and WorkModerate

Pooja 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?

  1. (A)4 days
  2. (B)9 days
  3. (C)3 days
  4. (D)6 days
Show answer and explanation

Correct answer: (A) 4 days

Pooja'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.

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Q2.Time and WorkModerate

Sneha can complete a piece of work in 14 days and Amit can complete the same work in 35 days. In how many days will they finish it working together?

  1. (A)9 days
  2. (B)21 days
  3. (C)10 days
  4. (D)24.5 days
Show answer and explanation

Correct answer: (C) 10 days

Sneha's one-day work = 1/14 and Amit'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.

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Q3.Time and WorkModerateSSC CHSL 2024

Riya can complete a piece of work in 30 days and Neha can complete the same work in 60 days. In how many days will they finish it working together?

  1. (A)20 days
  2. (B)30 days
  3. (C)19 days
  4. (D)22 days
Show answer and explanation

Correct answer: (A) 20 days

Riya's one-day work = 1/30 and Neha'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.

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Q4.Time and WorkModerateSSC CHSL 2024

Vikram can complete a piece of work in 20 days and Divya can complete the same work in 30 days. In how many days will they finish it working together?

  1. (A)10 days
  2. (B)12 days
  3. (C)11 days
  4. (D)25 days
Show answer and explanation

Correct answer: (B) 12 days

Vikram's one-day work = 1/20 and Divya's one-day work = 1/30. Together they do 1/20 + 1/30 = 50/600 = 1/12 of the work per day, so the work is finished in 12 days.

Shortcut: Days together = (a × b)/(a + b) = 600/50 = 12.

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Q5.Time and WorkModerateSSC CHSL 2024

Riya can complete a piece of work in 12 days and Divya can complete the same work in 24 days. In how many days will they finish it working together?

  1. (A)7 days
  2. (B)10 days
  3. (C)18 days
  4. (D)8 days
Show answer and explanation

Correct answer: (D) 8 days

Riya's one-day work = 1/12 and Divya'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.

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Q6.Time and WorkModerateSSC CHSL 2024

Anita can complete a piece of work in 10 days and Pooja can complete the same work in 40 days. In how many days will they finish it working together?

  1. (A)30 days
  2. (B)7 days
  3. (C)25 days
  4. (D)8 days
Show answer and explanation

Correct answer: (D) 8 days

Anita's one-day work = 1/10 and Pooja's one-day work = 1/40. Together they do 1/10 + 1/40 = 50/400 = 1/8 of the work per day, so the work is finished in 8 days.

Shortcut: Days together = (a × b)/(a + b) = 400/50 = 8.

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Frequently asked questions

How many SSC CHSL Time and Work questions can I practise here?

6 questions — 6 moderate. 6 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 CHSL?

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.