During the pyramid-building era the ancient Egyptians used two units of length, the palm and the ell. An ell was 7 palms and a palm was about 3 inches. If a hawk is tracked at a diving speed of 3 ells per second, what is its speed in inches per second? 1. 42 in/s 2. 5.25 in/s 3. 0.7 in/s 4. 126 in/s

Respuesta :

Knowing that the units of the ancient Egyptians were palm and ell, where 1 ell was 7 palms and 1 palm was 3 inches, the speed of a hawk tracked as 3 ells/s is equal to 63 in/s. The given options are not the correct ones.            

We have that:

1 ell = 7 palms

1 palm = 3 inches

v: is the speed of the hawk = 3 ells/s

To find the speed of the hawk in inches per second, we need to convert 3 ells/s to in/s, as follows:  

[tex] v = 3 \: \frac{ells}{s}*\frac{7 \: palms}{1 \:ell}*\frac{3 in}{1 \: palm} = 63 \frac{in}{s} [/tex]      

 

Therefore, the speed of the hawk is 63 inches per second. The given options are not the correct ones.

     

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I hope it helps you!