Two passengers leave the airport at Kansas City, Missouri. One flies to Los Angeles, California, in 3.4 hr and the other flies in the opposite direction to New York City in 2.4 hr. With prevailing westerly winds, the speed of the plane to New York City is 60 mph faster than the speed of the plane to Los Angeles. If the total distance traveled by both planes is 2464 mi, determine the average speed of each plane.

Question

Mathematics

Annabel Willis

1 February, 22:17

Two passengers leave the airport at Kansas City, Missouri. One flies to Los Angeles, California, in 3.4 hr and the other flies in the opposite direction to New York City in 2.4 hr. With prevailing westerly winds, the speed of the plane to New York City is 60 mph faster than the speed of the plane to Los Angeles. If the total distance traveled by both planes is 2464 mi, determine the average speed of each plane.

+5

Answers (1)

Know the Answer?

Kaiden Aguirre · Answer 1

Answer: x = 400 MPH x+60 = 460 MPH

Step-by-step explanation:

(Distance = (Rate) (Time)

Let x = speed of the LA bound plane

Then, x+60 = speed of NYC bound plane

Sum of distances = 2464

3.4x + 2.4 (x+60) = 2464

5.8x + 144 = 2464

5.8x = 2320

x = 400 MPH x+60 = 460 MPH