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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 (237 of them, from 55 exams, weighted towards Management, Banking, 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
237
Practice set
25 in 25 min
Difficulty
21/159/57
Negative marking
None
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Time and Work questions with solutions

6 from the 237-question pool, worked in full.

  1. 1. A records team can finish a digitisation job in 18 days and a scanning team in 24 days. They work together for 6 days; then only the scanning team continues. How many more days are required?

    • A. 8 days
    • B. 10 days ✓
    • C. 12 days
    • D. 14 days

    Solution. Together they complete 6(1/18+1/24)=6(7/72)=7/12. Remaining work=5/12. At 1/24 per day, time= (5/12)*24=10 days.

  2. 2. 18 workers can complete a project in 20 days. How many days will 24 workers take?

    • A. 14 days
    • B. 16 days
    • C. 15 days ✓
    • D. 17 days

    Solution. Total work = 18 × 20 = 360 worker-days. Days for 24 workers = 360/24 = 15 days.

  3. 3. 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.

  4. 4. 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.

  5. 5. A and B together finish work in 8 days. A alone takes 12 days. How long does B alone take?

    • A. 18 days
    • B. 20 days
    • C. 30 days
    • D. 24 days ✓

    Solution. B's rate is 1/8 - 1/12 = 1/24.

  6. 6. A can complete a piece of work alone in 18 days. He works alone for 6 days and then leaves. What fraction of the work is left unfinished?

    • A. 1/3
    • B. 1/2
    • C. 3/4
    • D. 2/3 ✓

    Solution. In 6 days, A completes 6/18 = 1/3 of the work, leaving 1 − 1/3 = 2/3 of the work unfinished.

Exams that set Time and Work

9 categories, led by Management, Banking, Railways.

Also set by IBSAT, IMU-CET, 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, NMAT, 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, XAT. Browse all exams.

Time and Work: frequently asked questions

How many time and work questions are there?

237, from the 55 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?

55 of the exams on this site, weighted towards Management (15), Banking (14), 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 237 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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