Question

At maximum speed an airplane travels 1720 miles against the wind in 5 hours. Flying with the wind, the plane can travel the same distance in 4 hours. Let X be the maximum speed of the plane and Y be the speed of the wind. What is the speed of the plane with no wind?

Answer 1

An airplane at a maximum speed of 1720 miles against the wind for 5 hours so wha could be the speed of the plane with no wind if the wind could fly the plane with the same distance for 4 hrs and  i think the best answer to this problem is 387 and i hope your satisfied with my answer.

Answer 2

Answer:

387 miles / hour

Explanation:

X be the maximum speed of plane and Y be the speed of wind.

Speed is the ratio of distance traveled to the time taken by the body.

When the plane travels against the wind, the speed of the plane is X - Y and when the plane is moving with the wind the speed is X + Y.

According to the formula

$speed = \frac{distance}{time}$

$X - Y = \frac{1720}{5}$

X - Y = 344 ....(1)

And

$X + Y = \frac{1720}{4}$

X - Y = 430 ......(2)

Adding both the equations,

2X = 774

X = 387 miles/hour