SOLUTION: At 12-noon flight 237 leaves Chicago headed due south and traveling at a rate of r miles per hour. At 12-noon a second flight, flight 875, left Chicago from a different runway he
Algebra.Com
Question 972570: At 12-noon flight 237 leaves Chicago headed due south and traveling at a rate of r miles per hour. At 12-noon a second flight, flight 875, left Chicago from a different runway headed due east and traveling 40 miles per hour slower than flight 237. At 3:00pm the planes are 600 miles apart. How fast is flight 237 traveling?
Found 2 solutions by macston, lwsshak3:
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
Let r=the rate of Flight 237
Between noon and 3:00pm (3 hours), Flight 237 travels 3hrs(r) miles.
Flight 875 travels 3hrs(r-40mph)
These two distances form a right triangle with hypotenuse=600 miles.
The rate of Flight 237 was 160 mph.
.
CHECK:
The rate of Flight 237 was 160 mph, so its distance was 480 miles.
The rate of Flight 875 was 120 mph, so its distance was 360 miles .
.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
At 12-noon flight 237 leaves Chicago headed due south and traveling at a rate of r miles per hour. At 12-noon a second flight, flight 875, left Chicago from a different runway headed due east and traveling 40 miles per hour slower than flight 237. At 3:00pm the planes are 600 miles apart. How fast is flight 237 traveling?
***
both planes have been flying for 3 hours(travel time)
let r=speed of flight 237
r-40=speed of flight 875
distance =speed*travel time
..
3r=distance traveled by flight 237(1 leg of right triangle)
3(r-40)distance traveled by flight 875(other leg of right triangle)
600=hypotenuse of right triangle
By the Pythagorean Theorem:
600^2=9r^2+9(r-40)^2
600^2=9r^2+9(r^2-80r+1600)
360000=9r^2+9r^2-720r+14400)
18r^2-720r-345600=0
divide by 18
r^2-40r-19200=0
(r-160)(r+120)=0
r=160
How fast is flight 237 traveling? 160 mph
RELATED QUESTIONS
At 12-noon flight 237 leaves Chicago headed due south and traveling at a rate of r miles... (answered by ankor@dixie-net.com)
At 12-noon flight 237 leaves Chicago headed due south and traveling at a rate of r miles (answered by richwmiller)
At 12-noon flight 237 leaves Chicago headed due south and traveling at a rate of r miles... (answered by rothauserc)
A train leaves Albert Lea, MN headed due north towards Brainerd, MN at 12:00 noon... (answered by josgarithmetic)
My question is:
A train leaves Chicago traveling west at 60 miles per hour.An hour later (answered by josgarithmetic,rothauserc)
an airplane leaves chicago at noon and travels south at 500 mph. another airplane is... (answered by richard1234)
At noon a train leaves Washington, D.C., headed for Charleston, South Carolina, a... (answered by mananth)
Distance between ships: At noon, Ship A is 45 miles due south of Ship B and is sailing... (answered by ankor@dixie-net.com)
A metra commuter train leaves union station in chicago at 12 noon. Two hours later, an... (answered by ankor@dixie-net.com)