Two cars traveled the same distance. One car traveled at 50 mph and the other car traveled at \(60 \mathrm{mph}\). It took the slower car 50 minutes longer to make the trip. How long did it take the faster car to make the trip?

A plane is heading in a direction \(45^{\circ}\) east of north and flying at an air speed (speed in still air) of 350 miles per hour. The wind is blowing in a direction \(10^{\circ}\) east of north at the rate of 70 miles per hour. Find the velocity (speed and direction) of the plane.

Two airfields \(\mathrm{A}\) and \(\mathrm{B}\) are 400 miles apart, and \(\mathrm{B}\) is due east of \(A\), A plane flew from \(A\) to \(B\) in 2 hours and then returned to \(\mathrm{A}\) in \((2) 1 / 2\) hours. If the wind blew with a constant velocity from the west during the entire trip, find the speed of the plane in still air and the speed of the wind.

The distance, s, a body falls in \(t\) seconds from a position of rest is given by the equation $$ \mathrm{s}=16 \mathrm{t}^{2} $$ where \(t\) is time in seconds, and \(s\) is measured in feet. A stone is dropped into a well and the sound of the splash is heard 3 seconds later. Taking the velocity of sound to be 1100 feet per second, write and solve the equation that determines the depth of the well.

One plane flies at a ground speed 75 miles per hour faster than another. On a particular flight, the faster plane requires 3 hours and the slower one 3 hours and 36 minutes. What is the distance of the flight?

Two planes with speeds of 600 miles (in still air) each make a trip of 990 miles. They take off at the same time and fly in opposite directions. One has a head wind and the other a tail wind. The plane flying with a tail wind lands 20 minutes before the other plane. What is the wind velocity?