Question

A bird leaves its nest and travels 18 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 5 miles left after x hours.
a. What is the distance of the entire trip?
? miles

b. How long does the entire trip take?
? hours
? minutes
? seconds

The answer for a is 60 miles and the answer for b is 3 hours, 40 minutes, and 0 seconds. Explain how this is correct. 30 point question, please answer soon.

Answer 1

60 miles would be your answer

Answer 2

Answer:

distance down wind

d - 6 = distance back

time = distance ÷ speed

x = d/20

x = (d - 6)/(16)

so d/20 = (d - 6)/16. Cross multiply

20d - 120 = 16d

-120 = -4d

30 = d so the whole trip assuming the bird gets back to the starting point is 60 miles