MATH SOLVE

5 months ago

Q:
# a commercial jet and a private airplane fly from Denver to phoenix. it takes the commercial jet 1.1 hours for the flight, and it takes the private airplane 1.8 hours. the speed of the commercial jet is 210 miles per hour faster than the speed of the private airplane. Find the speed of both airplanes

Accepted Solution

A:

Answer:The speed of the private airplane is 770 mph, the speed of the commercial airplane is 980 mph.Step-by-step explanation:Let x mph be the speed of private airplane. If the speed of the commercial jet is 210 miles per hour faster than the speed of the private airplane, then the speed of commercial airplane is (x+210) mph.It takes the commercial jet 1.1 hours for the flight, then it covered the distance of [tex]1.1(x+210)\ miles[/tex]It takes the private airplane 1.8 hours for the flight, then it covered the distance of [tex]1.8x\ miles.[/tex]The distances are the same, so[tex]1.1(x+210)=1.8x\\ \\1.1x+231=1.8x\\ \\1.8x-1.1x=231\\ \\0.7x=231\\ \\7x=2,310\\ \\x=770[/tex]The speed of the private airplane is 770 mph, the speed of the commercial airplane is 770 + 210 = 980 mph.