Question

A plane flew for 5 hours heading west and for 4 hours heading south. If the total distance traveled was 3,444 miles, and the plane traveled 39 miles per hour faster heading west, at what speed was the plane traveling west?

Answer 1

Answer:400 miles per hour

Explanation:

Let w = speed at which the plane travelled west

Let s = speed at which the plane travelled south

Distance moved in 5 hrs heading west = 5*w = 5w

Distance moved in 4 hrs heading south = 4*s = 4s

Total distance, 3444= 5w + 4s

w = s + 39( 39 miles/hr faster)

5(s+39) + 4s = 3444

5s + 195 + 4s = 3444

9s = 3249

s = 361 miles per hour

w = s + 39 = 361 +39

= 400 miles per hour