Jake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. Hari alone can dig the well in ?



Jake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. Hari alone can dig the well in ?

A. 48

B. 96

C. 24

D. 32

Answer : A. 48


Explanation:

    As Jake , Paul and Hari can dig the well in 8 days,
    Jack one day work = 1/16
    Paul one day work = 1/24
    Hari one day work = 1/x

    Given,
    (Jake, Paul and hari) 1 day work = 1/8

    So, 1/16 + 1/24 + 1/x = 1/8
    5/48 + 1/x = 1/8
    1/x = 1/8 - 5/48
    1/x = (6 - 5) / 48
    = 1/48
    1/x = 1/48

    Therefore, Paul can finished work in 48 days.


Related Searches to Jake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. Hari alone can dig the well in ?