Question

A and B together can do a piece of work in 4 hours
which A alone can do in 12 hours. In what time
could B alone do it?​

Answer 1

Answer :

B alone can complete the work in 6 hours.

Step-by-step explanation :

To Find,

• In how much time B alone can finish the work

Solution,

Given that,

• A and B together can do a piece of work in 4 hours
• A alone can do in 12 hours.

Therefore,

( A + B )'s 1 hour's work = 1/4

A's 1 hour work = 1/12

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

» ( 1/4 - 1/12 )

» ( 3 × 1 ) - ( 1 × 1 ) / 12

» 3 - 1 / 12

» 2/12

» 1/6

Therefore, B can alone complete the work in 6 days.