SOLUTION: one plane travels 80 mph faster than another. While one travels 1750 miles, the other travels 950 miles. find the speed of each plane.

Question 1029290: one plane travels 80 mph faster than another. While one travels 1750 miles, the other travels 950 miles. find the speed of each plane.
Found 3 solutions by josgarithmetic, stanbon, MathTherapy:
Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!
Travel rates rule, RT=D
The faster plane goes the larger distance;
"while", indicated that the time quantities are equal for both planes

rate time distance oneplane r+80 t 1750 otherplane r t 950

------solve this for r.

Note that another way is to start at the first shown system, perform the multiplication for the first equation (of the faster plane), and solve for t; and then use the second equation to solve for the value of r.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
one plane travels 80 mph faster than another. While one travels 1750 miles, the other travels 950 miles. find the speed of each plane.
--------------------
faster plane DATA:
rate = x + 80 mph ; distance = 1750 ; time = 1750/(x+80) hrs.
-----------
slower plane DATA:
rate = x mph ; distance = 950 ; time = 850/x hrs
------
Equation::
time = time
1750/(x+80) = 850/x
-----------------------
1750x = 850x + 80*850
--------------------------
900x = 80*850
------
x = 75.56 mph
x+80 = 155.56 mph
---------------
Cheers,
Stan H.
---------------
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

one plane travels 80 mph faster than another. While one travels 1750 miles, the other travels 950 miles. find the speed of each plane.

Faster plane's speed:
Slower plane's speed:
RELATED QUESTIONS
One car travels 8 mph faster than another on a freeway. While one goes 238 miles, the... (answered by fractalier)
One high-speed jet travels 100 miles per hour faster than another. When one plane travels (answered by jorel1380)
19. One high-speed jet travels 100 miles per hour faster than another. When one plane... (answered by ankor@dixie-net.com)
I need some help with this please thank you so much one high-speed jet travels 100... (answered by solver91311)
One high-speed jet travels 100 miles per hour faster than another. When one plane travels (answered by MathLover1)
one car travels 20 mph faster than another. whie one of them travels at 240 miles the... (answered by ankor@dixie-net.com)
One car travels 20 km/hr faster than another. While one of them travels 240 km, the other (answered by solver91311)
One high-speed jet travels 100 miles per hour faster than another. When one plane travels (answered by lwsshak3)
rational expressions..I need help with this thank you so very much and have a blessed... (answered by MathTherapy)