Question

A takes 6 days less than B to finish a piece of work. If both A and B together can finish the work in 4 days, find the time taken by B to finish the work.

Answer 1

Answer:

12 days

Step-by-step explanation:

Let the time taken by B to complete the work be x days.

in these type of questions , we should convert the work done into 1 day.

So , According to the question

1/x + 1/x-6 = 1/4

=> x-6+x / x(x-6) = 1/4

=> 2x-6 / x^2-6x = 1/4

=> 8x-24 = x^2-6x

=> x^2-14x+24 = 0

=> (x^2-12x)+(-2x+24) = 0

=> (x-12) (x-2) = 0

=> x = 12 , 2

if the time taken by B to complete the work is 2 days then the time taken by A to complete the work will be -4 days which is not possible.

=> time taken by B to complete the work is 12 days .

HOPE THIS HELPS YOU .

Answer 2

Answer:

12 days is the answer of question.