Question

A plane travels at a speed of 205mph in still air. Flying with a tailwind, the plane is clocked over a distance of 550 miles. Flying against a headwind, it takes 1

hour longer to complete the return trip. What was the wind velocity? (Round your answer to the nearest tenth.)

Answer 1

55.5 mph

Explanation:

Time period of flight

• Distance travelled / Speed of plane
• 550 miles / 205 mph
• 2.68 hours

Return trip flight speed

• Distance travelled / Time taken
• 550 miles / 2.68 + 1 hours
• 550 miles / 3.68 hours
• 149.46 mph

Wind velocity

• Original speed - Speed on return trip
• 205 - 149.46
• 55.54
• 55.5 mph