hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    A work can be completed by x persons in 50 days. Due to absence of 5 persons, the work was completed in 55 days. The value of x is
    Question

    A work can be completed by x persons in 50 days. Due to absence of 5 persons, the work was completed in 55 days. The value of x is

    A.

    110

    B.

    100

    C.

    55

    D.

    50

    Correct option is C

    Given:

    A work can be completed by x persons in 50 days.

    Due to absence of 5 persons, the work is completed in 55 days.

    Find the value of x.

    Formula Used:

    Time and Work — Men × Days = Constant work

    Solution:

    Total work remains same in both cases.

    50x = 55(x - 5)

    50x = 55x - 275

    55x - 50x = 275

    5x = 275

    x = 55

    Alternate Solution (Exam Trick):


    Free Tests

    Free
    Must Attempt

    SSC GD PYP (Held on 4 Feb 2025 S1)

    languageIcon English
    • pdpQsnIcon80 Questions
    • pdpsheetsIcon160 Marks
    • timerIcon60 Mins
    languageIcon English
    Free
    Must Attempt

    Hindi Section Test 1

    languageIcon English
    • pdpQsnIcon20 Questions
    • pdpsheetsIcon40 Marks
    • timerIcon12 Mins
    languageIcon English
    Free
    Must Attempt

    SSC GD Constable Full Mock Test 1

    languageIcon English
      0
    • pdpsheetsIcon160 Marks
    • timerIcon60 Mins
    languageIcon English

    Similar Questions

    test-prime-package

    Access ‘KVS Stenographer’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    398k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow