Question

A plane flew 1740 km in 6 hours with a tail wind. On the return trip, going into the wind, the plane flew 570 km in 3 hours. What is the plane's speed if there was no wind? What is the speed of the wind?

Write the system of equations that would be used to solve this problem.

Answer 1

1740km is 6 hours
So
870 in 3 hours
Then 570 in 3 hours on the way back
The difference is 300km per 3 hours but because it's acting in opposite directions it works out as 150 kn per 3 hours so the wind speed is 50km/ hour
The planes speed without wind would be the average so 720 km per 3 hours so 240km/hour

Answer 2

Wind's speed (y):
6(x + y) = 1,740
x + y = 290
y = 290 - x

3(x - y) = 570
x - y = 190
y = x - 190

Plane's speed (x):
290 - x = x - 190
2x = 480
x = 240

Wind's speed:
= 290 - 240
= 50

Answer 3

theyre both right