SOLUTION: Plane A flies 2125 miles in the same amount of time it takes Plane B to fly 2375 miles. Plane B is flying 50mph faster than Plane A. Find the amount of time it takes for each plane

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Plane A flies 2125 miles in the same amount of time it takes Plane B to fly 2375 miles. Plane B is flying 50mph faster than Plane A. Find the amount of time it takes for each plane      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1127686: Plane A flies 2125 miles in the same amount of time it takes Plane B to fly 2375 miles. Plane B is flying 50mph faster than Plane A. Find the amount of time it takes for each plane to travel their respective distances
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your time equation is


2125%2Fx = 2375%2F%28x%2B50%29.


Cancel the common factor 125 in both sides to get


17%2Fx = 19%2F%28x%2B50%29


Solve it to find x, the speed of the plane A.


Your next step in the solution is cross-multiplying.


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Plane A flies 2125 miles in the same amount of time it takes Plane B to fly 2375 miles. Plane B is flying 50mph faster than Plane A. Find the amount of time it takes for each plane to travel their respective distances
Let time taken by each be T
Then we get the following SPEED/RATE equation: matrix%281%2C3%2C+%222%2C125%22%2FT%2C+%22=%22%2C+%222%2C375%22%2FT+-+50%29, which can be reduced to: matrix%281%2C3%2C+85%2FT%2C+%22=%22%2C+95%2FT+-+2%29
Solve this for T, the time each takes, which by the way is the same.