hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    A does half as much work as B in three-fourth of the time taken by B. If together they take 12 days to complete the work, how much time shall B take t
    Question

    A does half as much work as B in three-fourth of the time taken by B. If together they take 12 days to complete the work, how much time shall B take to do it alone?

    A.

    15 days

    B.

    20 days

    C.

    10 days

    D.

    16 days

    Correct option is B

    Given

    A does half as much work as B in three-fourths of the time taken by B.

    Together, A and B take 12 days to complete the work.

    Formula Used

    Efficiency = WorkTime\frac{\text{Work}}{\text{Time}} 

    Solution: 

    From the condition efficiency of A and B 

    AB=23\frac{A}{B} = \frac{2}{3} 

    Total work = 5 ×\times 12 = 60

    B's time taken alone = 603=20 days\frac{60}{3} = 20 \ days​​

    Free Tests

    Free
    Must Attempt

    CBT-1 Full Mock Test 1

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    Free
    Must Attempt

    RRB NTPC Graduate Level PYP (Held on 5 Jun 2025 S1)

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    Free
    Must Attempt

    RRB NTPC UG Level PYP (Held on 7 Aug 2025 S1)

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English

    Similar Questions

    test-prime-package

    Access ‘RRB NTPC’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    368k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow