SOLUTION: Question : A twin-engine plane can fly 800 mi in the same time that it takes a single-engine plane to fly 600 mi. The rate of the twin engine plane is 50 miles faster than that of
Algebra.Com
Question 104935This question is from textbook
: Question : A twin-engine plane can fly 800 mi in the same time that it takes a single-engine plane to fly 600 mi. The rate of the twin engine plane is 50 miles faster than that of the single engine plane. Find the rate of the twin engine plane.
This is what I have tried:
distance/time=rate.
Twin engine 800 50+r
Single engine 600 50-r
So 800/50+r & 600/50-r
(50+r)(50-r)800/50+r=(50+r)(50-r)600/50-r
(50-r)800=(50+r)600
40000-800=30000+600
-1400=-10000
r=?
I have been trying to find wesites that could help me with this problem all week. The week for this problem is over tomorrow, October 18,2007, at 11:59pm.
Please help me ASAP! I have many other questions that need answering and I am looking forward to someone helping me out.
This question is from textbook
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A twin-engine plane can fly 800 mi in the same time that it takes a single-engine plane to fly 600 mi. The rate of the twin engine plane is 50 miles faster than that of the single engine plane. Find the rate of the twin engine plane.
:
You got things a little mixed up here, here's how I would do it:
:
Let r = speed of the twin engine plane
then
(r-50) = speed of the single engine plane
:
The time of the two planes is given as the same so write a time equation:
Time = Distance/speed
:
Twin time = single time
=
Twin:
Cross multiply and you have:
800(r-50) = 600r
:
800r - 40000 = 600r; multiplied what's inside the brackets
:
800r - 600r = +40000
200r = 40000
r =
r = 200 mph is the speed of the twin
:
:
WE can check our solutions by finding if the times are the same
Single plane speed is 200 - 50 = 150 mph
:
Twin: 800/200 = 4 hrs
Single: 600/150 = 4 hrs, confirms our solution:
:
Did that help? I think you made it more complicated than it is:
RELATED QUESTIONS
A twin-engine plane can fly 800 mi in the same time that it takes a single-engine plane... (answered by stanbon)
A twin-engine plane flies 540 mi in the same amount of time it takes a single-engine... (answered by jorel1380,greenestamps)
A twin-engine plane flies 400 mi in the same amount of time it takes a single-engine... (answered by stanbon)
Before, solving the problem, I just want to give you the heads up. It's Application of... (answered by solver91311)
A plane can fly 180 mph in calm air. Flying with the wind, the plane can fly 600 mi in... (answered by lwsshak3)
A plane can fly 190 mph in calm air. Flying with the wind, the plane can fly 836 mi in... (answered by ewatrrr,Theo)
The rate of a single-engine plane in calm air is 100mph. Flying with the wind, the plane... (answered by lwsshak3)
A one engine plane can fly 120 mph in still air. If it can fly 490 miles with a tailwind... (answered by ikleyn)
One plane traveled 800 miles in the same time a second plane traveled 1,000 miles. The... (answered by mananth)