Two planes make a 900 mile flight, one flying 50 miles per hour faster than the other. The quicker plane makes the trip 3 hours

Question

OlgaM077 [116]

3 years ago

15

Two planes make a 900 mile flight, one flying 50 miles per hour faster than the other. The quicker plane makes the trip 3 hours

faster. How long did it take the slower plane to complete the flight?

Mathematics

1 answer:

Alex_Xolod [135] · Answer 1 · 2022-03-13T17:11:28+03:00

<span>let the speed of the slower plane be x mph, then
1000/x - 1000/(x+75) = 3

multiply across by x(x+75)
1000(x+75) - 1000x = 3x(x+75)

collect terms & simplify
3x² + 3*75x - 1000*75 = 0
x² +75x - 25,000 = 0

(x+200)(x-125) = 0

take the positive value,
x = 125 mph
------------

</span>Faster plane:
200 mph
5 hours

Slower plane
125 mph
8 hours