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Chapter 11: Q. 62 (page 714)

The average airspeed of a single- engine aircraft is 150 miles per hour. If the aircraft flew the same distance in 2 hours with the wind as it flew in 3 hours against the wind, what was the wind speed?

Short Answer

Expert verified

Wind speed is 30 mi/hour

Step by step solution

01

Given information

we are given The average airspeed of a single- engine aircraft is 150 miles per hour. If the aircraft flew the same distance in 2 hours with the wind as it flew in 3 hours against the wind

02

Write the equations and solve them

The average airspeed of a single- engine aircraft is 150 miles per hour. If the aircraft flew the same distance in 2 hours with the wind

Let x be wind speed and y be distance

We get

2(150+x)=y300+2x=y(1)

it flew in 3 hours against the wind

3(150-x)=y450-3x=y (2)

Equate both equations

300+2x=450-3x5x=150x=30

03

Conclusion

Wind speed is 30 mi/hour

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