The speeds of trains A ( S a S_a S a ) and B ( S b S_b S b ) in km/hr, with S a > S b S_a > S_b S a > S b , are the roots of the equa...
Question
The speeds of trains A () and B () in km/hr, with , are the roots of the equation:
Let and be the usual times (in hours) taken by trains A and B respectively to cover a distance km. If their speeds are interchanged for the same distance (i.e., train A travels at speed and train B at speed ), then train A takes hours and train B takes hours.
Find the sum of the original times .