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A bird leaves its nest and travels 14 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles per hour slower and has 6 miles left after x hours.

a. What is the distance of the entire trip?

miles

b. How long does the entire trip take? (In Hours Minutes and Seconds

Respuesta :

Answer:36

Step-by-step explanation:
  • 1.5hr the distance of the entire trip
  • The time for the entire trip is 3.375 hours.
  • The total distance of the trip is 60 miles.

The total distance of the trip

The given parameters include;

  • The speed of the bird in the forward trip = 20 m/h
  • Time of motion = x
  • The speed of the bird in the backward trip in x hours = (20 - 4)m/h = 16 mi/h.
  • Distance remaining to complete the backward trip = 6 miles.

The time to complete each trip is calculated as;

distance =[tex]speed $\times$ time[/tex]

forward distance = backward distance

[tex]&20 x=16 x+6 \\[/tex]

[tex]&20 x-16 x=6 \\[/tex]

[tex]&4 x=6 \\[/tex]

[tex]&x=\frac{6}{4} \\[/tex]

[tex]&x=1.5 h r[/tex]

The total time of the motion for the entire trip exists calculated as follows;

Time = time for forward + time for backward

[tex]\text { time } &=1.5 \mathrm{hr} r_{\text {forward }}+1.5 \mathrm{hr} \text { backward }+\frac{6 \mathrm{mi}}{16 \mathrm{mi} / \mathrm{hr}} \text { backward } \\[/tex]

time [tex]&=2(1.5) \mathrm{hr}+0.375 \mathrm{hr} \\[/tex]

time[tex]&=3.375 \mathrm{hr}[/tex]

The time for the entire trip is 3.375 hours.

The total distance of the trip exists calculated as follows;

total distance = forward distance + backward distance total distance [tex]$=20 \times 1.5+16 \times 1.5+6$[/tex] miles

Total distance =60 miles

Therefore, the total distance of the trip is 60 miles.

To learn more about The total distance of the trip refer to:

https://brainly.com/question/1788514

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