A bird leaves its nest and travels 12 miles per hour downwind for x hours. On the return trip, the bird travels 2 miles per hour slower and has 3 miles left after x hours. What is the distance of the entire trip? How long does the entire trip take?

Respuesta :

3 hours

On the way there, 1.5x12 = 18
On the way back, 1.5x10 = 15

12x = 10x + 3

Subtract 10x from both sides

2x = 3

Divide by two on each side

x = 3/2 or 1 1/2 hours

Distance of the trip:

12 * 2 * 3/2 = 36 miles

How long does the trip take:

3/2 + 3/2 + 3/10 = 3 3/10 hours

3 hours

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