Question

A and B together can do a piece of work in 12 days and A alone can do it in 24 days . How long will B take to complete the work ? Answer in step by step​

Answer 1

Answer :

B can alone do the work on 24 days.

Step-by-step explanation :

To Find,

• How long will B take to complete the work ?

Solution,

Given that,

• A and B together can do a piece of work in 12 days
• A alone can do it in 24 days

Therefore,

( A + B )'s 1 day's work = 1/12

A's 1 day's work = 1/24

B's 1 day's work = [ ( A + B )'s 1 day's work ] - ( A's 1 day's work )

» 1/12 - 1/24

» ( 2 × 1 ) - ( 1 × 1 ) / 24

» 2 - 1 / 24

» 1/24

Hence, B can alone do the work on 24 days.