an electrician completes 1/6 of a job in 2/3 hour. At this rate, how long does it take the electrician to complete the job?​

Respuesta :

Answer:

It takes the electrician 4 hours to complete the job

Step-by-step explanation:

This question can be solved using a rule of three.

In 2/3 of an hour, he completes a sixth of a job. So how many hours does it take for him to complete the job(which is 100% = 6/6 = 1)?

2/3 hour - 1/6 of the job

x hours - 1 of the job

[tex]\frac{1}{6}x = \frac{2}{3}[/tex]

Applying cross multiplication

[tex]3x = 6*2[/tex]

[tex]3x = 12[/tex]

[tex]x = \frac{12}{3}[/tex]

[tex]x = 4[/tex]

It takes the electrician 4 hours to complete the job