Question

two workers A and B are engaged to do a work. A working alone takes 8 hours more to complete the job than if both worked together. If B worked alone he would need 9/2 hours more to complete the job than they both working together. What time would they take to do the work together?​

Answer 1

Step-by-step explanation:

Let A and B together take x hours to complete the work.

Then, A alone takes (x + 8) hours

And 

B alone takes 

(x+92)(x+92)

   hours to complete the work

Then,

⇒1(x+8)+1(x+92)=1x⇒1(x+8)+2(2x+9)=1x⇒x(4x+25)=(x+8)(2x+9)⇒2x2=72⇒x2=36⇒x=6

Answer 2

Think this one is right if wrong I don't know any other methods