Question

A plane traveled 240 miles yo Miami and back. The trip going with the wind took 2 hours. The trip going against the wind took 4 hours. What is the speed of the plane?

Answer 1

Answer: the speed of the plane is 45 miles per hour

Step-by-step explanation:

The plane travelled 240 miles to Miami and back from Miami. This means that he travelled 120 miles while going and 120 miles while coming back. The trip while going with the wind took 2 hours.

Speed = distance / time

The speed while going with the wind = 120/2 = 60 miles per hour

The trip while going against the wind took 4 hours.

The speed while going against the wind = 120/4 = 30 miles per hour

Let x = the speed of the plane

Let y = the speed of the wind

While going,

x + y = 60 - - - - - - - 1

While coming back against the wind,

x - y = 30 - - - - - 2

Subtracting equation 2 from equation 1,

2y = 30

y = 30/2 = 15 miles per hour

x = 60-y = 60-15

x = 45 miles per hour