sadieelainesmith sadieelainesmith

Today at 11:28 PM
Mathematics

Answered

An airplane travels 1,800 miles from Los Angeles to Chicago in 3.6 hours, going with the wind. The return trip takes 4 hours and is against the wind. Find the rate of the airplane with no wind. Find the rate of the wind.

Answer :

cdw2014 cdw2014

Today at 11:33 PM

The "rate" at which something travels can be referred to as velocity.

V = displacement / time

So going with the wind, Vp + Vw = 1800 / 3.6 = 500 mph
Going against the wind, Vp - Vw = 1800 / 4 = 450 mph

Vp = 500 - Vw
Vp = 450 + Vw

500 - Vw = 450 +Vw

2Vw = 50

Vw = 25 mph
Vp = 475 mph

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kayleighgoins kayleighgoins

Today at 11:33 PM

Answer:

The airplane flies at 475 mi/h with no wind. The rate of the wind is 25 mi/h.

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