Question

Amya spends 2 hours doing her homework. She daydreams about a robot that could do her homework in 10 minutes. If Amya did have that robot, how long would it take them together to complete her homework?

Answer 1

Answer:

t=34.64 mins

Step-by-step explanation:

let Arya be A, Robot be B and Combined time be t

$A+B=\frac{1}{t}\\A=\frac{1}{t+120}\\B=\frac{1}{t+10}\\\frac{1}{t+10}+\frac{1}{t+120}=t\\\frac{1}{t+10}=\frac{t+120-t}{t+120}\\t^2+120t=120t+1200\\t^2=1200\\t=34.6410$