In doing a load of clothes, a clothes drier uses 18 A of current at 240 V for 59 min. A personal computer, in contrast, uses 3.0 A of current at 120 V. With the energy used by the clothes drier, how long (in hours) could you use this computer to "surf" the Internet?

Respuesta :

Answer:

11.76 hours or 11 hours 45 minutes

Explanation:

Given

[tex]Current\ for\ drier = I_d = 18A\\Voltage\ for\ drier=V_d=240V\\Time\ for\ drier=t_d=59\ min[/tex]

We have to convert minutes into hours

So,

[tex]t=\frac{59}{60} = 0.98\ hours[/tex]

[tex]Current\ for\ Computer=I_c=3.0A\\Voltage\ for\ computer=V_c=120V[/tex]

As we are given that we have to find the time the computer will sustain using the same energy as the drier. So,

[tex]I_d*V_d*t_d=I_c*V_c*t_c\\18*240*0.98=3*120*t_c\\t_c*360=4233.6\\t_c=\frac{4233.6}{360}\\ t_c=11.76\ hours[/tex]

Converting into minutes will give us: 11 hours 45 minutes

Therefore, with the same energy used by the drier, the computer can be used 11.76 hours to surf the internet ..