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.

Categorized in:

Time and Work

Tagged in:

, , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , ,