Question

181. Two workers M and N are engaged to do a work. M working alone takes 8 hours more to complete the
work than if both worked together. If N worked alone, he would need 4.5 hours more to complete the
task than they both work together. What time will they take to complete the work together?
(A) 3 hours
(B) 4 hours
(C) 6 hours
(D) None of the above​

Answer 1

Step-by-step explanation:

8+4.5=12.5

12.5/2=6.5

Answer 2

6

answer:-

1/x+8 + 1/x+4.5 = 1/x

1/x+4.5 = 1/x - 1/x+8

1/x+4.5 = x+8-x/(x(x+8)

1/x+4.5 = 8/(x(x+8)

x(x+8) = 8(x+4.5)

x² + 8x = 8(x+4.5)

x² = 40

x is equal to approximately 6