Question

An airplane took 2 hours to fly 600 km against a head wind. The retrun trip with the wind took 1 and two thirds hours. Find the speed of the plane in stll air.

Answer 1

330 km/hr

Step-by-step explanation:

To find speed of the plane against the headwind;

600 km / 2 hours = 300 km/hr

Speed of plane with the wind in its back;

600 km / 5/3 hours = 600 * 3/5 = 360 km/hr

We can create a simultaneous equation from this data.

Assume the speed on pane in still air is x km/h

Assume the speed of wind is y km/h

Therefore;

x – y = 300

x + y = 360

Solving the simultaneous equation by elimination gives us;

x – y = 300

-

x + y = 360

=

-2y = - 60

y = 30

x = 330

The speed of the plane without wind is;

= 330 km/hr

The wind speed is;

= 30 km/hr

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