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.

Question

anonymous · Answer

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

anonymous · Answer

why?

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

thanks