Given:
The Honeywell HQ17 air cleaner takes twice as long as the EV25 to clean the same
volume of air.
Let, x be the time taken by Honeywell EV25 air cleaner.
And 2x be the time taken by Honeywell HQ17 air cleaner.
Together the two machines can clean the air in 10 min.
[tex]\begin{gathered} x+2x=10 \\ 3x=10 \\ x=\frac{10}{3}=3.33\text{ min} \end{gathered}[/tex]So, time takes by Honeywell HQ17 air cleaner is,
[tex]2x=2(\frac{10}{3})=6.67\text{ min}[/tex]Answer:
The time taken by Honeywell EV25 air cleaner is 3.33 min.
The time taken by Honeywell HQ17 air cleaner is 6.67 min.
