Question

an airplane travels 1,800 miles in 3 hours flying with the wind. On the return trip, flying against the wind it takes 4 hours to travel 2,000 miles. Find the rate of the plane in still air.

Answer 1

The rate of the plane in still air is 550 mph.

Answer 2

why?

Answer 3

Use Distance = Rate * Time
1800 = (x + c) * 3
2000 = (x - c) * 4

Answer 4

x = the rate in still air
c = the rate of the wind

Answer 5

1800 = 3x + 3c
2000 = 4x - 4c

Answer 6

1800 - 3x = 3c
600 - x = c

Answer 7

2000 = 4x - 4 (600 - x)
2000 = 4x - 2400 + 4x
2000 = 8x -2400
4400 = 8x
550 = x

Answer 8

thanks