Question

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

Answer 1

Answer:

Step-by-step explanation:

Let time taken by B be x days

Then, time taken by B is x-6 days

A/Q

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

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

8x - 24= x^2 - 6x

x^2 +6x-4x -24=0

(x+6)(x-4)=0

So, x= 4

Time taken by B is 4 days