Question

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Part 1
Animal Migration  Last​ weekend, a herd of antelope moved to better grazing land. The herd traveled 15three fourths
miles on​ Friday, 17one half
miles on​ Saturday, and 11one half
miles on Sunday. How far did the herd migrate to the better grazing​ land? If the herd had traveled the total distance in equal​ parts, how far would the herd have moved each​ day?
Question content area bottom
Part 1
The herd migrated
  
50 and three eighths
miles to the better grazing land.
​(Simplify your answer. Type a whole​ number, proper​ fraction, or mixed​ number.)

Answer 1

Let's add the distances:

- 15 3/4 = 63/4
- 17 1/2 = 35/2 = 70/4
- 11 1/2 = 23/2 = 46/4

Sum = (63 + 70 + 46)/4 = 179/4 = 44 3/4 miles.

If the total 179/4 miles were traveled in equal parts over 3 days: (179/4) ÷ 3 = 179/12 = 14 11/12 miles per day.

So the herd migrated 44 3/4 miles in all, and would have moved 14 11/12 miles each day if the distance had been equal. (The 50 3/8 given in the problem bottom is not correct.)