a small jet can fly 1,435 miles in 5 hours with a tailwind but only 1,215 miles in 5 hours into a headwind. find the speed of the jet in still air and the speed of the wind.
Accepted Solution
A:
Answer:Speed of Jet in Still Air = 265 miles per hourSpeed of Wind = 22 miles per hourStep-by-step explanation:Let x be speed of jetand c be speed of windWe know D = RT, whereD is distanceR is rateT is timeFor first leg:1435 miles in 5 hours, the rate is:Rate = 287 mphFor second leg:1215 miles in 5 hours, the rate is:Rate = 243 mphSo 287 is with wind and 243 against wind, thus we can write:x + c = 287x - c = 243Adding gives us:2x = 530x = 265 miles per hour [still rate]Speed of wind: x + c = 287265 + c = 287c = 22 miles per hour [speed of wind]