bigtreezl wrote:

**Quote:**

Per Day Rate of y + Per day rate of x = 5/12 W

1/n + 1/n+2 = 5/12 W

n=4 satisfies this ( No of days Y takes to produce W)

can you go through the steps you did to get to n=4? I ended up factoring the quadratic equation to get 4 as a possible n, but this method took forever

When I wrote the original explanation i plugged in couple of numbers to test where n would satisfy the equation and got to 4 .... did not do this calculation. However, this may be counterproductive at times. There is no sure shot way that I am aware of ... we need to go through the lengthy process of solving the quadratic equation.

I forgot to put W on LHS in the original explanation... taking W off from both sides

1/n + 1/n+2 = 5/12

2n+2/ n^2+2n= 5/12

5n^2- 14n -24 =0

5n^2- 20n + 6n -24 =0

5n( n-4) + 6 (n-4)=0

(5n+6)(n-4)=0

n=-6/5 or n=4... by eliminating -ve.. we get n=4

I know that you have done this already but for the completeness of this topic, I am putting the steps here.

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