The ratio of the length to the width the official german flag is 5:3.Sanda is making 12 german flags for a cuiture show.Each flag she makes has a length of 20 centimeters . It takes her 4 hours to make all the flag. What is the width of each flag and the average amount of time it takes sandra to make each flag?

Respuesta :

Answer: The width of each flag = 12 cm

The average amount of time it takes Sandra to make each flag =  20 minutes.

Step-by-step explanation:

Given: The ratio of the length to the width the official german flag is 5:3.

Let length = 5x, width = 3x

Length of each flag = 20 cm

i.e. [tex]5x=20\Rightarrow\ x=\dfrac{20}{5}=4\text{ cm}[/tex]

Then width of each flag = 3 x 4 = 12 cm

i.e. width of each flag = 12 cm

Total time to make 12 flags = 4 hours

Time taken to make 1 flag = [tex]\dfrac{4}{12}[/tex] hour

Time taken to make 1 flag = [tex]\dfrac{1}{3}[/tex] hour

1 hour = 60 minutes

Time taken to make 1 flag = [tex]\dfrac{1}{3}\times60[/tex] minutes = 20 minutes.

Hence, the average amount of time it takes Sandra to make each flag =  20 minutes.