The total flying time for the round trip if there was no wind would be 2 hours 24 minutes. The result is obtained by using the elimination method.
<h3>What is elimination method?</h3>
The elimination method is a method for solving system of linear equations where we eliminate one variable so that we can get an equation in one variable. In doing that, we can either add or subtract the equations.
Given the case that an airplane takes 1 hour 30 minutes to fly 600 km against the wind. It takes only 1 hour in the return trip.
What would be the total flying time for the round trip if there was no wind?
Let's say:
- v = the speed of the airplane
- w = the speed of the wind
When the airplane leaves,
v - w = 600 km / 1.5 hour
v - w = 400 kph ... (<em>equation 1</em>)
When the airplane returns,
v + w = 600 km / 1 hour
v + w = 600 kph ... (<em>equation 2</em>)
We eliminate the equation 2 and 1 to get the speed of the airplane.
v - w = 400 kph
<u>v + w = 600 kph</u> +
2v = 1000 kph
v = 1000 ÷ 2
v = 500 kph
For the round trip, the airplane would fly 600 × 2 = 1200 km.
The total flying time if there was no wind would be
t = s/v
t = 1200/500
t = 2.4 hour
t = 2 hours 24 minutes
Hence, the total flying time for the round trip if there was no wind is 2 hours 24 minutes.
Learn more about elimination method here:
brainly.com/question/14619835
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