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?

(r+w)6=1740
(r-w)3=570

(r-w)6=1740
(r+w)3=570

(r+w)3= 1740
(r-w)6 = 570

(r-w)3=1740
(r+w)6=570

Answer 1

(r-w)6=1740
(r+w)3=570

Answer 2

Let the value v denote the speed of the plane with no wind
distance = speed * time

We know that 1740 = (v + x) * 6, or (v + x) = 1740 / 6 = 290
Assuming it is the same wind, we also know that 570 = (v - x) * 3, or (v - x) = 570 / 3 = 190
Add the two together and we have:
(v + x) + (v - x) = 290 + 190
2v = 480
v = 240 kilometres per hour
x = 290 - v = 290 - 240 = 50

So the speed of the plane is 240 km per hour, and the wind is 50 km per hour

Answer 3

thank you

Answer 4

you welcome @rebecca1233