A plane and a helicopter are both flying toward Clover City Airport. The plane is 1,200 miles from the airport, and it is flying at a constant speed of 510 miles per hour. The helicopter is 500 miles from the airport, and it is flying at a constant speed of 160 miles per hour. Which equation can you use to find h, the number of hours it will take for the plane and the helicopter to be the same distance from the airport? Choices: (A)1,200 - 510h = 500 - 160h (B)1,200 - 500h = 510 - 160h How many hours will it take for the plane and the helicopter to be the same distance from the airport? Simplify any fractions. ____ hours

Question

A plane and a helicopter are both flying toward Clover City Airport. The plane is 1,200 miles from the airport, and it is flying at a constant speed of 510 miles per hour. The helicopter is 500 miles from the airport, and it is flying at a constant speed of 160 miles per hour. Which equation can you use to find h, the number of hours it will take for the plane and the helicopter to be the same distance from the airport?   Choices: (A)1,200 - 510h = 500 - 160h (B)1,200 - 500h = 510 - 160h  How many hours will it take for the plane and the helicopter to be the same distance from the airport? Simplify any fractions.   ____ hours

Bytelearn · Accepted Answer

Understand the problem: Understand the problem. We need to find the time at which the plane and the helicopter will be the same distance from the airport. The plane is 1,200 miles away and travels at 510 mph, while the helicopter is 500 miles away and travels at 160 mph.Set up the equation: Set up the equation. The distance each will travel is the product of their speed and time. Since we want to find when they are the same distance from the airport, we set their remaining distances to the airport equal to each other. Remaining distance for the plane: 1,200 - 510h Remaining distance for the helicopter: 500 - 160h Equation: 1,200 - 510h = 500 - 160hIdentify the correct equation: Identify the correct equation from the choices. The equation we derived in Step 2 matches choice (A). Correct equation: (A)1,200 - 510h = 500 - 160hSolve the equation for h: Solve the equation for h. 1,200 - 510h = 500 - 160h Add 510h to both sides: 1,200 = 500 + 350h Subtract 500 from both sides: 700 = 350h Divide both sides by 350: h = 700 / 350 Calculate h: h = 2

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