A commercial airplane that is 1,500 miles into a 2,500 -mile journey is traveling at 450 knots in still air when it picks up a tailwind of 150 knots (in the same direction). If h is the number of hours remaining in the airplane's flight, which of the following equations best describes the situation? 1knot=1.15 miles per hour (mph) Choose 1 answer: (A) 1,500+690 h=2,500 (B) 1,500+600 h=2,500 (C) 1,500-600 h=2,500 (D) 1,500-690 h=2,500

Question

A commercial airplane that is 1,500 miles into a 2,500 -mile journey is traveling at 450 knots in still air when it picks up a tailwind of 150 knots (in the same direction). If  h is the number of hours remaining in the airplane's flight, which of the following equations best describes the situation?  1knot=1.15 miles per hour (mph) Choose 1 answer: (A)  1,500+690 h=2,500 (B)  1,500+600 h=2,500 (C)  1,500-600 h=2,500 (D)  1,500-690 h=2,500

Bytelearn · Accepted Answer

Convert Speed to mph: Convert the airplane's speed from knots to miles per hour (mph). The airplane is traveling at 450 knots in still air, and it picks up a tailwind of 150 knots. We need to add these two speeds together and then convert the sum to mph. 450 knots + 150 knots = 600 knots. Now, convert knots to mph using the given conversion rate: 1 knot = 1.15 mph. 600 knots * 1.15 mph/knot = 690 mph.Set Remaining Distance Equation: Set up the equation to represent the remaining distance to be covered. The airplane has already covered 1,500 miles of its 2,500-mile journey. The remaining distance is 2,500 miles - 1,500 miles = 1,000 miles. The airplane is now traveling at a speed of 690 mph due to the tailwind. Let h be the number of hours remaining for the flight. The distance covered in h hours at 690 mph is 690 * h miles.Write Total Distance Equation: Write the equation using the remaining distance and the distance that will be covered in h hours. The total distance covered by the end of the flight will be the distance already covered (1,500 miles) plus the distance covered in the remaining hours (690 * h miles). So, the equation is 1,500 miles + 690 * h miles = 2,500 miles.Check Answer Choices: Check the answer choices to see which one matches the equation we have derived. The correct equation is 1,500 + 690 * h = 2,500, which matches answer choice (A).

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