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A commercial jet can fly 868 miles in 2 hours with a tailwind but only 792 miles in 2 hours into a headwind. Find the speed of the jet in still air and the speed of the wind.

2 Answers

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Answer:

The speed of the jet in still air is 415 mph and the speed of the wind is 19 mph

User Mukund Jogi
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3 votes

Answer:

The speed of the jet in still air is 415 mph and the speed of the wind is 19 mph

Explanation:

we know that

The speed is equal to divide the distance by the time

Let

x -----> the speed of the wind in miles per hour

y ----> the speed of the jet in still air in miles per hour

we know that

With a tailwind


y+x=(868)/(2)


y+x=434 ----> equation A

With a headwind


y-x=(792)/(2)


y-x=396 ----> equation B

solve the system of equations A and B by elimination

Adds equation A and equation B


y+x=434\\y-x=396\\------\\y+y=434+396\\2y=830\\y=415

Find the value of x


y+x=434


415+x=434


x=434-415


x=19

therefore

The speed of the jet in still air is 415 mph and the speed of the wind is 19 mph

User Proximab
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