Question

mogaka and Onduso working together can do a piece of work in six days.mogaka , working alone takes five days longer than Onduso. How many days does it take Onduso to work alone?

Answer 1

Let Onduso take x days
⇒ Mogaka takes x + 5 days 
∴ 1  +   1    = 1 
    x    x + 5    6
6(x+5) + 6x = x(x+5)
x2 - 7x - 30 = 0
(x -  10)( x + 3)
x = 10, - 3
∴ Onduso takes 7 days