# SOLUTION: at maximum speed airplan travel 2460 miles against the wind in 6 hours flying with the wind the plan can travel the same distance in 5 hours

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 Question 242477: at maximum speed airplan travel 2460 miles against the wind in 6 hours flying with the wind the plan can travel the same distance in 5 hours Answer by stanbon(57332)   (Show Source): You can put this solution on YOUR website!at maximum speed an airplane can travel 2460 miles against the wind in 6 hours flying with the wind the plane can travel the same distance in 5 hours ---------------- Against the wind DATA: distance = 2460 miles ; time = 6 hrs. ; rate = 2460/6 = 410 mph ---------------------------- With the wind DATA: distance = 2460 miles ; time = 5 hrs. ; rate = 492 mph ---------------------------- Equations: p + w = 492 p - w = 410 --------------------- Add: 2p = 902 p = 451 mph (speed of the plane in still air) ---------------- Substitute into p+w = 492 to solve for "w": 451+w = 492 w = 41 mph (speed of the wind) ================================================ Cheers, Stan H.