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Tow 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 along, he would need 4.5 hours more to complete the job than they both working together . What time would they take to do the work together ?

Correct Answer: 4 hours
Let, A and B can do the work in x hours So, they together 1 hour can do the work in 1/x portion. Again, In ( x + 8) hours A can do 1 portion Si, In 1 hour can do 1/x + 8 portion According to question, 1/x + 8 + 1/ 4.5 + x = 1/x 1/x + 8 + 1/ (9/2 + x) = 1/x 1/x + 8 + 2 / 9 + 2x = 1/x ( 9 + 2x + 2x + 16)/(x + 8) ( 9 + 2x) = 1/x x 2 = 36 x = 6

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