Two cars are traveling 40 and 50 miles per hour, respectively. If the second car starts out 5 miles behind the first car, how long will it take the second car to overtake the first car?

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.

Mike can throw a football exactly 36 yards and Danny can throw a football exactly 30 yards. If they start to throw their football from the same spot, what is the minimum number of throws for each of them so that the footballs will have been thrown the same distance? What is this distance?

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?

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.

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.