hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    P is two times efficient than Q. P is able to complete a piece of work in 40 days less than Q Working together, the whole number of days taken by them
    Question

    P is two times efficient than Q. P is able to complete a piece of work in 40 days less than Q Working together, the whole number of days taken by them to complete the work is: (Round off to the nearest integer)

    A.

    26

    B.

    25

    C.

    27

    D.

    28

    Correct option is C

    Given:
    P is two times more efficient than Q, and P completes the work in 40 days less than Q.
    Solution:
    Let Q's time to complete the work be x days
    Then, P's time = x - 40 days
    Efficiency of P : Efficiency of Q= 2:1
    Q's work in one day = 1/x
    P's work in one day = 2/x
    2x×(x40)=1\frac2x × (x - 40) = 1​​
    2(x - 40) = x
    2x - 80 = x
    x = 80
    P's time = 80 - 40 = 40 days
    Combined work per day =180+140=(1+2)80=380 \frac1{80} + \frac1{40} = \frac{(1 + 2)}{80} = \frac{3}{80}​​
    Days taken together =80327\frac {80}{3} ≈ 27 days

    Alternate Method:
    Efficiency of P:Q=2:1 (2-1) unit → 40 days. 1 unit =40 days Time of P:Q=1:2

    Required time =80/3 =26.67 days or =27 days.

    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

    SSC GD Constable Exam Day Based Mock 1

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

    Mathematics Section Test 1

    languageIcon English
    • pdpQsnIcon20 Questions
    • pdpsheetsIcon40 Marks
    • timerIcon25 Mins
    languageIcon English

    Similar Questions

    test-prime-package

    Access ‘SSC CGL Tier I’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    446k+ students have already unlocked exclusive benefits with Test Prime!

    Similar Questions

    Our Plans
    Monthsup-arrow