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# A transcontinental jet travels at a rate of x – 100 mph with

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A transcontinental jet travels at a rate of x – 100 mph with [#permalink]  01 Oct 2017, 04:30
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A transcontinental jet travels at a rate of x – 100 mph with a headwind and x + 100 mph with a tailwind between Wavetown and Urbanio, two cities 3,200 miles apart. If it takes the jet 2 hr 40 minutes longer to complete the trip with a headwind, then what is the jet’s rate flying with a tailwind?

(A) 500

(B) 540

(C) 600

(D) 720

(E) Cannot be determined by the information given.

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[Reveal] Spoiler: OA
Manager
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Re: A transcontinental jet travels at a rate of x – 100 mph with [#permalink]  01 Oct 2017, 06:37
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Bunuel wrote:
A transcontinental jet travels at a rate of x – 100 mph with a headwind and x + 100 mph with a tailwind between Wavetown and Urbanio, two cities 3,200 miles apart. If it takes the jet 2 hr 40 minutes longer to complete the trip with a headwind, then what is the jet’s rate flying with a tailwind?

(A) 500

(B) 540

(C) 600

(D) 720

(E) Cannot be determined by the information given.

Kudos for correct solution.

quick way is to plug the values,

Let take option C

therefore tailwind rate is = x+100 = 600

Now putting the values in speed= \frac{dist}{time} formula

we get 600 = \frac{3200}{time}

or time = 5 hr 20 min

now calculating for headwind we have

since we have taken x+100 = 600 or x= 500

therefore headwind speed = x-100 = 500-100= 400

Putting the value in speed = \frac{distance}{time}
we get time = \frac{3200}{400} = 8 hour which exactly 2 hr 40 mins addition to tailwind. So ans is 600.

When putting the values in the equation it is better to choose from option C and then depending on the result we can go above C or below C.
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Re: A transcontinental jet travels at a rate of x – 100 mph with [#permalink]  13 Oct 2017, 05:16
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3200 / (x-100) - 3200 / (x+100) = 8/3 (Hrs)

By Solving this equation we can get the answer
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Re: A transcontinental jet travels at a rate of x – 100 mph with [#permalink]  13 Oct 2017, 05:20
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Another method is by puting the values of X As 500,540,600,720

First put the value of x as 500
Speeds are 400 and 600
time taken to travel 3200 is 8 hrs and 5 hrs 20 mins.
Difference in time is 2 hrs 40 min as given in the problem
so speed with tailwind is x+100 = 500+100 = 6

This will definately save time.

if the 500 does not work go with the choice 600 as it is easy to eliminate this choice first
Re: A transcontinental jet travels at a rate of x – 100 mph with   [#permalink] 13 Oct 2017, 05:20
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# A transcontinental jet travels at a rate of x – 100 mph with

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