contestada

Stan drives 30 minutes a day commuting to and from work. He drove h hours this week. How many days did he work?​

Respuesta :

Stan worked 2h days this week

Step-by-step explanation:

The given is:

  • Stan drives 30 minutes a day commuting to and from work
  • He drove h hours this week

We need to find how many days he worked

∵ Stan drives 30 minutes a day

∵ 1 hour = 60 minute

∴ 30 minutes = [tex]\frac{30}{30}=\frac{1}{2}[/tex] hour

∴ Stan drives [tex]\frac{1}{2}[/tex] hour a day

∵ He drove h hours this week

- To find the number of days that he worked divide the total

   hours he drove in this week by the hour he drives in a day

∴ The number of days = h ÷ [tex]\frac{1}{2}[/tex]

- Change the division sign to multiplication sign and reciprocal the

   fraction after the division sign

∵ The reciprocal of [tex]\frac{1}{2}[/tex] = [tex]\frac{2}{1}[/tex] = 2

∴ The number of days = h × 2

∴ The number of days = 2h

Stan worked 2h days this week

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