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.

7 years ago1740km 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

7 years agoWind'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

7 years agotheyre both right

7 years ago