A freight train leaves the station 1 hour before a passenger train. The two trains are traveling in the same direction on parallel tracks. If the rate of the passenger train is 5mph faster than the freight train, how fast is each train traveling if the passenger train passes the freight train in 12 hours?
Speed of freight train = ? mph.
Passenger train = ? mph. (type an integer or a decimal)
It takes Joan 2 times longer than Jane to file the reports. Together, they can file the reports in 12 minutes. How long would it take each woman to file the reports by herself?
It takes Jane ? minutes to do it alone.
It takes Joan ? minutes to do it alone.
Solve the equation exactly:
3x2 - 7x - 5 = 0
x = ?
(Simplify your answers. Type exact answers, using radicals if needed)