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SSC MTS Time and Work Questions

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

Questions
2
Moderate
2

Time and Work questions with solutions

Q1.Time and WorkModerateSSC MTS 2024

Sneha can complete a piece of work in 10 days and Riya can complete the same work in 15 days. In how many days will they finish it working together?

  1. (A)8 days
  2. (B)5 days
  3. (C)12.5 days
  4. (D)6 days
Show answer and explanation

Correct answer: (D) 6 days

Sneha's one-day work = 1/10 and Riya's one-day work = 1/15. Together they do 1/10 + 1/15 = 25/150 = 1/6 of the work per day, so the work is finished in 6 days.

Shortcut: Days together = (a × b)/(a + b) = 150/25 = 6.

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Q2.Time and WorkModerateSSC MTS 2024

Divya can complete a piece of work in 15 days and Sneha can complete the same work in 60 days. In how many days will they finish it working together?

  1. (A)11 days
  2. (B)45 days
  3. (C)12 days
  4. (D)37.5 days
Show answer and explanation

Correct answer: (C) 12 days

Divya's one-day work = 1/15 and Sneha'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.

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Frequently asked questions

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

2 questions — 2 moderate. 2 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 MTS?

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.