SOLUTION: The two engine plane and a Boeing jet take off from an airport at the same time for a city 720 miles away. The rate of the two engine plane is 180 mi/h less than that of the Boeing
Algebra.Com
Question 1077582: The two engine plane and a Boeing jet take off from an airport at the same time for a city 720 miles away. The rate of the two engine plane is 180 mi/h less than that of the Boeing jet. If the Boeing jet arrives 2 hours ahead of the two engine plane, find each planes rate.
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
Let n be the speed of the small plane. Then the jet flies at n+180. So:
720/n=720/n+180 +2
720(n+180)=720n+2nē+360n
2nē+360n-129600=0
nē+180n-64800=0
(n+360)(n-180)=0
n=-360 or 180
Using the positive value, we get the speed of the two engine plane to be 180 mph, and that of the jet to be 360 mph. ☺☺☺☺
RELATED QUESTIONS
A private plane and a commercial plane take off from an airport at the same time for a... (answered by addingup,jorel1380)
A single-engine plane and a commercial jet leave an airport at 10 A.M. and head for an... (answered by ankor@dixie-net.com,greenestamps)
How to solve this problem using the table: "A single-engine plane and a commercial jet... (answered by josgarithmetic)
A single-engine plane flies east form an airport at a speed of 140 miles per hour. Two... (answered by mananth)
An airplane takes off from an airport at 7:00 a.m. traveling at a rate of 350 mph. Two... (answered by josgarithmetic,MathTherapy)
At noon, a cargo plane leaves Ling airport and heads towards Shangxu 500km away at... (answered by mananth,josgarithmetic,math_tutor2020,ikleyn)
At noon a cargo plane leaves McHare Airport and heads east at 180mph. Its destination is... (answered by jorel1380)
A united airline jet leaves new york's kennedy airport headed to los angeles... (answered by ankor@dixie-net.com)
At noon, a cargo plane leaves Angama airport and heads towards Bamburi 500 km away at 180 (answered by math_tutor2020,mananth)