a copy machine can copy a report in 30 min. when a second copy machine is used at the same time, the copying can be done in 18 min. how long would it take the second copy machine to do the copying alone?

A copy machine can copy a report in 30 mins. When a second copy machine is used at the same time, the copying can be sone in 18 min. How long would it take the second copu machine to do the copying alone?

i have:

x=30

x+y=18

that would be -12..not right?

Answer Link

andromache andromache · Answer 2 · 2022-04-22T13:23:16+02:00

The time taken that it take the second copy machine to do the copying alone should be considered as the 11.25 minutes.

Calculation of the time taken:

Let we assume x be the time required at the time when using both machines.

Let us assume the completed job = 1

we know that

copy machine 1 will do [tex]x/30[/tex] of the job

and

copy machine 2 will do [tex]x/18[/tex] of the job

So, it can be like

[tex]\frac{x}{30} + \frac{x}{18} = 1[/tex]

So,

18x + 30x = 540

48x = 540

x = 11.25 minutes

hence, The time taken that it take the second copy machine to do the copying alone should be considered as the 11.25 minutes.

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