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A plane can fly 375 miles against the wind in the same amount of time that it can fly 700 miles with the wind. If the wind speed is 65 ​mph, find the speed of the plane in still air.

Sagot :

The speed of the plane in still air will be 215 miles per hour.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, a plane may go 700 miles with the wind and 375 miles against it in the same period of time. If the wind is blowing at 65 mph,

Suppose x represents the speed of the plane in still air.

The speed of the plane with the wind is x+65 and the speed of the plane against the wind is x-65

Travel time = distance/speed

375/x-65=700/x+65

375(x+65)=700(x-65)

375x+24375=700x-45500

700x-375x=24375+45500

325x=69875

x=69875/325

x=215

Thus, the speed of the plane in still air will be 215 miles per hour.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

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