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Chapter 11: Q. 61 (page 715)

With a tail wind, a small Piper aircraft can fly 600 miles in 3 hours. Against this same wind, the Piper can fly the same distance in 4 hours. Find the average wind speed and the average airspeed of the Piper.

Short Answer

Expert verified

The windspeed is 175mi/hour and average speed of piper is 25mi/hour

Step by step solution

01

Given information

A small Piper aircraft can fly 600 miles in 3 hours. Against this same wind, the Piper can fly the same distance in 4 hours.

02

Find the equations and solve them

We get,

S1=6003S1=200mi/hrAndS2=6004S2=150mi/hr

now let x be the windspeed and y be the speed of the piper

A small Piper aircraft can fly 600 miles in 3 hours.

Hence

role="math" localid="1646911615111" x+y=200 (1)

Also, Against this same wind, the Piper can fly the same distance in 4 hours

x-y=150(2)

Add equation 1 and 2 we get,

2x=350x=175

Also

x+y=200y=200-175y=25mi/hr

03

Conclusion

The windspeed is 175mi/hour and average speed of piper is 25mi/hour

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