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Quantitative practice

Time and Work Questions with Answers

Rates of work, combined effort, alternate-day working, and pipes filling against a leak. This page pools every time and work question on the site — 223 of them, from 51 exams, weighted towards Banking, Management, Railways — so you can drill the topic on its own instead of meeting four of them inside a full paper.

24% of the pool is graded hard on this site’s own scale and 9% easy, which is harder than the average topic in this section.

Questions
223
Practice set
25 in 25 min
Difficulty
21/149/53
Negative marking
None
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Time and Work questions with solutions

6 from the 223-question pool, worked in full.

  1. 1. A can complete a piece of work in 24 days and B can complete it in 16 days. Working together, how many days will they take?

    • A. 9 days
    • B. 10 days
    • C. 9.2 days
    • D. 9.6 days ✓

    Solution. Combined rate = 1/24 + 1/16 = 2/48 + 3/48 = 5/48 of the work per day, so the work takes 48/5 = 9.6 days.

  2. 2. A can finish a job in 10 days and B can finish it in 15 days. Working together, how many days will they take?

    • A. 12.5 days
    • B. 5 days
    • C. 6 days ✓
    • D. 25 days

    Solution. Combined rate = 1/10+1/15 = 1/6 of the job per day, so together they take 6 days.

  3. 3. A alone can complete a task in 15 days, and B alone can complete it in 10 days. In how many days will they complete it working together?

    • A. 5 days
    • B. 6 days ✓
    • C. 7 days
    • D. 8 days

    Solution. A's 1-day work = 1/15, B's 1-day work = 1/10. Together = 1/15 + 1/10 = 5/30 = 1/6, so they complete the work in 6 days.

  4. 4. A can complete a job in 12 days. A and B together can complete it in 8 days. In how many days can B alone complete the job?

    • A. 20 days
    • B. 22 days
    • C. 26 days
    • D. 24 days ✓

    Solution. A's rate = 1/12. Combined rate = 1/8. B's rate = 1/8 - 1/12 = 3/24 - 2/24 = 1/24. B alone takes 24 days.

  5. 5. 8 men can complete a task in 12 days. How many days will 6 men take to complete the same task?

    • A. 12
    • B. 14
    • C. 18
    • D. 16 ✓

    Solution. Total work = 8 × 12 = 96 man-days. With 6 men, days = 96 ÷ 6 = 16.

  6. 6. A crew completes a job in 20 days. After working alone for 4 days, it is joined by a second crew that works at one-third of the first crew's rate. How many more days are needed?

    • A. 12 days ✓
    • B. 10 days
    • C. 15 days
    • D. 9 days

    Solution. First crew completes 1/5 in 4 days, leaving 4/5. Combined rate=1/20+1/60=1/15. Time=(4/5)/(1/15)=12 days.

Exams that set Time and Work

8 categories, led by Banking, Management, Railways.

Also set by IPMAT Indore, IPMAT Rohtak, JAIN JET, Jharkhand PECE, JIPMAT, KMAT Karnataka, LIC AAO, MAH MBA CET, MAH UG CET, MAT, MICAT, NABARD Grade A, Navy SSR, NCHM JEE, NIACL AO, RBI Assistant, RBI Grade B, RPF Constable, RPF Sub-Inspector, RRB ALP, RRB Group D, RRB Junior Engineer, RRB NTPC, RRB Paramedical, RRB Technician, SBI Clerk, SBI PO, SEBI Grade A, SIDBI Grade A & B, SNAP, SSC CGL, SSC CHSL, SSC CPO, SSC GD Constable, SSC MTS, SSC Selection Post, TANCET MBA, UPSC CSE, Uttarakhand JEEP. Browse all exams.

Time and Work: frequently asked questions

How many time and work questions are there?

223, from the 51 exams here whose syllabus sets the topic. 9% are graded easy and 24% hard, which makes time and work one of the harder topics in this section, against a 17% average.

Which exams ask time and work questions?

51 of the exams on this site, weighted towards Banking (14), Management (12), Railways (8). Every question in this pool comes from one of their own mock tests, so the list below is the honest answer to whether the topic is worth your time.

Is time and work hard?

24% of these 223 questions are graded hard and 9% easy, making it one of the harder topics in this section, against a 17% average.

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