Question

Jane spent 2 hours but this is my equation 12/x + 40/(x-5) =2 is this correct

Answer 1

If x represents Jane's speed along the summit then her total exploration time is

`(12)/(x)+(40)/((x-5))=2`

Solving the above equation as

`\begin{gathered} (12(x-5)+40x)/((x)(x-5))=2 \\ (12x-60+40x)/((x)(x-5))=2 \\ 52x-60=2(x)(x-5) \\ 52x-60=2(x^2-5x) \\ 52x-60=2x^2-10x \\ 2x^2=52x+10x-60 \\ 2x^2=62x-60 \\ x^2-31x+30=0 \\ x^2-30x-1x+30=0 \\ x(x-30)-1(x-30)=0 \\ (x-30)(x-1)=0 \\ x=30\text{ mph,1 mph} \end{gathered}`

Thus, we get Janes's speed as 30 mph.