Quantitative Aptitude: Time and Work Set 1

Time and Work Bank PO Questions

  1. A and B can complete a job in 16 hrs and 24 hrs respectively. In how many hours they together can produce 10 such jobs?
    A) 74
    B) 96
    C) 82
    D) 85
    E) None of these
    View Answer
    Option B
    Solution:

    Working together:
    1/16 + 1/24 = 5/48
    So they complete 5 jobs in 48 hrs.
    Therefore, 10 jobs in 48×2 = 96 hrs.
  2. 4 men and 5 women can complete a work in 8 days. The same work can be completed by 2 men and 3 women in 14 days. In how many days 1 women will complete the work?
    A) 32 days
    B) 45 days
    C) 38 days
    D) 56 days
    E) 28 days
    View Answer
    Option D
    Solution:

    4m + 5w = 8d
    So 8 × (4m + 5w) = 8/8 d
    32m + 40w = 1 …… (1)
    Also given:
    2m + 3w = 14d
    So 28m + 42w = 1 ……(2)Now equate (1) and (2)
    32m + 40w = 28m + 42w
    Solve, 2m = 1w
    Put in any of equations above.2w + 5w = 8d
    7 w in 8 days. So 1 w in 7 × 8 = 56 days
  3. A and B produced similar chairs. When A worked for 2 hrs and B for 5 hrs, they completed half of the work. Next they worked together for 3 hrs. If 1/20th of the work is yet to be completed, then find in how many hours can B complete the work working alone?
    A) 16
    B) 18
    C) 12
    D) 15
    E) 22
    View Answer
    Option D
    Solution:

    Let A can complete work in a days and B in b days.
    So 2/a + 5/b = 1/2 …..(1)
    Now 1/20 work is left after further 3 days. So in 3 days work completed is 1 – (1/2 + 1/20) = 9/20
    So 3/a + 3/b = 9/20 ……(2)
    Solve equations 1 and 2. b = 15
  4. A, B and C can complete a work in 12, 15 and 25 days respectively. A started the work, C and B joined him after 3 and 6 days respectively. How much work did A complete?
    A) 3/5
    B) 2/3
    C) 1/8
    D) 3/7
    E) None of these
    View Answer
    Option B
    Solution:

    Let total work completed in x days. So A worked for all x days. B for (x-6) days and C for (x-3) days. So
    x/12 + (x-6)/15 + (x-3)/25 = 1.
    Solving for x, we get x = 8
    So A completed x/12 = 8/12 = 2/3rd of work.
  5. 16 men can complete a job in 7 days. The same work can be completed by 20 women in 9 days. In how many days 14 men and 15 women can complete the job all working together?
    A) 2 1/3 days
    B) 7 days
    C) 4 4/5 days
    D) 8 days
    E) 6 1/3 days
    View Answer
    Option C
    Solution:

    16 m in 7 days so 14 m in 16×7/14 = 8 days.
    20w in 9 days so 15 w in 20×9/15 = 12 days.
    So together 1/8 + 1/12 = 5/24
    So 24/5 days.
  6. A and B can complete a work in 20 days and 30 days respectively. A starts the job and B joins him on alternate days starting from 2nd day. In how many days they can together complete the work?
    A) 10 days
    B) 12 2/3 days
    C) 14 days
    D) 34 days
    E) 15 1/5 days
    View Answer
    Option E
    Solution:

    On 1st day A completes 1/20 of work.
    On 2nd day, A and B together completes 1/20 + 1/30 = 1/12 of work.
    Using LCM method:
    Total work = LCM of 20 and 12 = 60
    So efficiency of A = 60/20 = 3.
    And efficiency of A and B on 2nd day = 60/12 = 5
    So in 2 days they complete 3+5 = 8 works
    Multiply by 7 both sides.
    In 14 days they complete 56 works.
    Work left = 60 – 56 = 4
    Now on 15th days A, turn. He completes 3 of the work out if 4 left.
    Now remaining work = 4 – 3 = 1.
    On 16th day, A and B’s turn. So they complete remaining 1 work in 1/5 day.
    So total 15 1/5 days.
  7. A and B can complete a work in 12 and ‘n’ days respectively. They worked for 3 days and found 3/5th of the work as pending. If C who can complete the same work in 24 days also works with them, how much work will remain uncompleted after 4 days?
    A) 8/19
    B) 15/31
    C) 2/9
    D) 3/10
    E) 3/13
    View Answer
    Option D
    Solution:

    3/5th is pending means 2/5th is completed. So
    (1/12 + 1/n) × 3 = 2/5
    Solve, B can complete work in n = 20 days.
    Now: in 4 days all A, B, C completed
    (1/12 + 1/20 + 1/24) × 4 = 7/10 of work
    So pending work = 1 – 7/10 = 3/10 of work.
  8. A can complete a work in 24 days. If he is half as efficient as B, then in how many days they both can complete a job working together?
    A) 8 days
    B) 14 days
    C) 17 days
    D) 5 days
    E) 10 days
    View Answer
    Option A
    Solution:

    A is half efficient so takes double days than B. So B can alone complete job in 12 days.
    So together in 24×12/(24+12) = 8 days
  9. A can complete 40% of work in 12 days. To complete the remaining work in next 12 days B joins him. How much more efficient is A than B?
    A) 80%
    B) 200%
    C) 50%
    D) 100%
    E) None of these
    View Answer
    Option D
    Solution:

    A completes 40% of work in 12 days so 60% of the work has to be completed by A and B.
    They together take 12 days to complete 60% of work.
    So working together, they can complete whole work in 12/60 × 100= 20 days
    A completed 40% work in 12 days, he can complete whole work in 12/40 × 100 = 30 days
    Let B takes x days to complete whole work. So,
    1/30 + 1/x=1/20
    Solving we get x = 60
    Now A completes whole work in 30 days. B in 60 days so A is twice or 100% efficient than B.
  10. A and B together can complete a work in 24/5 days. B and C together can complete a work in 36/5 days. A and C together can complete a work in 72/13 days. In how many days B alone can complete the work?
    A) 14 days
    B) 12 days
    C) 12 1/2 days
    D) 19 days
    E) 20 days
    View Answer
    Option B
    Solution:

    1/A + 1/B = 5/24 …..(1)
    1/B + 1/C = 5/36 ……(2)
    1/A + 1/C = 13/72 ……(3)
    Add equations 1 and 2 and then subtract 3 from them.
    (1/A + 1/B + 1/B + 1/C) – (1/A + 1/C) = 5/24 + 5/36 – 13/72
    2/B = 1/6
    So B takes 12 days.

Click here to go to Quantitative Aptitude Section

Related posts

32 Thoughts to “Quantitative Aptitude: Time and Work Set 1”

  1. ᗩᙢᙖᓰḰᗩ

    thankuuu mam :))

  2. destiny Casimiro

    sum 3
    4a+10b=== full work
    1/2-1/20===9/20

    4a-20/3a====10a-20/3b==
    8a====10b
    4a====5b
    b-=== 5+10==15

  3. destiny Casimiro

    tq mam

  4. Prasanjit Nayak

    really helpful…………regular follower

    1. Thanku.
      If you like, please recommend to others too..

      1. Nilesh Shirsath

        Please can you explain me ..question number 10….. How you calculated value of B…Please..

  5. inder jot

    can u plz explain how A and B complete 1 work in 1/5 dys in 6th sum

    1. See this

      efficiency of A and B on 2nd day = 60/12 = 5

      from here
      A and B complete 1 work in 1/5 dys

  6. Ayushi

    mam es level k que. or jitne bhi questions is platform p h or jo ap sets dete ho vo rbi grade b m aate h kya

    1. yes they can be asked

      level of questions is now rising, expect anything

  7. Aravinthan

    benifitted AZ ..keep posting

  8. I additionally believe that mesothelioma is a extraordinary form of melanoma that is commonly found in these previously familiar with asbestos. Cancerous cellular material form inside mesothelium, which is a protective lining which covers the vast majority of body’s body organs. These cells generally form in the lining in the lungs, tummy, or the sac which encircles one’s heart. Thanks for sharing your ideas.

  9. Hiya, I am really glad I have found this info. Today bloggers publish just about gossips and web and this is really frustrating. A good website with interesting content, this is what I need. Thanks for keeping this website, I will be visiting it. Do you do newsletters? Can’t find it.

  10. What’s up, just wanted to tell you, I enjoyed this post. It
    was funny. Keep on posting!

  11. Article writing is also a fun, if you be familiar with afterward you can write if
    not it is difficult to write.

  12. My spouse and I absolutely love your blog and find a lot of your post’s
    to be exactly what I’m looking for. Would you offer guest writers to write content for you?
    I wouldn’t mind writing a post or elaborating on some of the subjects
    you write in relation to here. Again, awesome blog!

  13. Attractive section of content. I just stumbled upon your site and in accession capital to assert
    that I get in fact enjoyed account your blog posts. Anyway I’ll be subscribing to
    your augment and even I achievement you access consistently quickly.

  14. I like it whenever people come together and share ideas. Great blog, stick with it!

  15. Fine way of telling, and fastidious piece of writing to get facts regarding
    my presentation focus, which i am going to deliver in academy.

  16. Very good article. I absolutely love this site. Keep it
    up!

  17. I every time emailed this webpage post page to all my friends, as if
    like to read it after that my contacts will too.

  18. Do you have a spam problem on this blog; I also am
    a blogger, and I was wondering your situation; many of us have created
    some nice procedures and we are looking to swap techniques with other folks,
    why not shoot me an e-mail if interested.

  19. I’m more than happy to discover this website. I want to to thank you for your time
    just for this fantastic read!! I definitely enjoyed every part of it and i also have you saved as a favorite to see new things on your blog.

  20. Way cool! Some very valid points! I appreciate you writing this article and the rest of the website is really good.

  21. Excellent article. Keep writing such kind of information on your blog.
    Im really impressed by your site.
    Hey there, You have done an excellent job. I will definitely digg it and individually recommend to my friends.
    I am sure they’ll be benefited from this site.

  22. Nice post. I used to be checking continuously this blog and I am inspired!
    Very helpful information specially the ultimate section 🙂 I take care of such
    information a lot. I was seeking this particular information for
    a very long time. Thanks and good luck.

  23. It’s appropriate time to make some plans for the longer term
    and it is time to be happy. I have read this submit and if I could I
    wish to counsel you few attention-grabbing issues or suggestions.
    Maybe you could write next articles relating to this article.
    I desire to read even more things approximately it!

  24. always i used to read smaller content that also clear their motive, and that
    is also happening with this article which I am reading now.

  25. Good day! This is my first visit to your blog!
    We are a group of volunteers and starting a new initiative in a community
    in the same niche. Your blog provided us valuable information to work on. You have
    done a extraordinary job!

  26. I blog frequently and I truly appreciate your content.
    This great article has really peaked my interest.
    I will take a note of your blog and keep checking for new information about once
    per week. I subscribed to your RSS feed too.

  27. Article writing is also a excitement, if you know after that you can write
    if not it is complicated to write.

Comments are closed.