Answered

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The Honeywell HQ17 air cleaner takes twice as long as the EV25 to clean the samevolume of air. Together the two machines can clean the air in a 25-ft by 24-ft banquetroom in 10 minutes. How long would it take each machine working alone to clean the airin the room?

Sagot :

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.

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