Posted by **MARIAH** on Saturday, November 6, 2010 at 5:47pm.

Mattie Evans drove 250 miles in the same amount of time that it took a turbopropeller plane to travel 1250 miles. The speed of the plane was 200 mph faster than the speed of the car. Find the speed of the plane

- Algebra -
**Daneeka**, Saturday, November 6, 2010 at 6:46pm
its 450 mph

- Algebra -
**PsyDAG**, Sunday, November 7, 2010 at 10:17am
Speed = distance/time

time = distance/speed

Let x = plane speed and y = driving speed

y = x + 200

250/x = 1250/y

Substitute x + 200 for y in second equation and solve for x. Insert that value into the first equation and solve for y. Check by inserting both values into the second equation.

- Algebra -
**Henry**, Sunday, November 7, 2010 at 9:30pm
Car speed = X-mi/h,

Plane speed = (X + 200) mi/h,

Eq1: d1 = X*t = 250 mi,

t = 250 / X,

Eq2: d2 = (X + 200)t = 1250 mi.

Substitute 250 / X for t in Eq2:

(X + 200)250/X = 1250,

250 + 50000/X = 1250,

50000 / X = 1250 - 250,

50000 / X = 1000,

Cross multiply:

1000X = 50000,

X = 50000 / 1000 = 50 mi/h = car speed.

(X + 200) = 250 mi/h = plane speed.

## Answer this Question

## Related Questions

- Algebra - Mattie Evans drove 300 miles in the same amount of time that it took a...
- Math - Mattie drove 140 miles in the same amount of time that it took a ...
- MATH Algebra - The speed of a passenger train is 6 mph faster than the speed of ...
- algebra - A plane takes 3 hours to travel 1500 miles with the wind. it can ...
- college algebra word problem - Lisa drove 8 miles to pick up her friend Laurie, ...
- math - An airplane flying against the wind travels 100 miles in the same amount ...
- Algebra - A plane has a cruising speed of 100 miles per hour when there is no ...
- math - an ultralight plane had been flying for 40 min when a change of wind ...
- Algebra - The speed of a passenger train is 20 mph faster than the speed of a ...
- College Math - A plane flies 460 miles with the wind and 310 miles against the ...

More Related Questions