Question

Two railway stations are at a distance of 96 km from each
other. One train covers this distance in 40 minutes less
than the other. The speed of the first train is 12 km/h faster
than that of the second. Determine the speeds of both the
trains.​

Answer 1

Answer:

Set v1+12=v2 (the speed of train 2 is 12km/h more than speed of train 2), and 96/(v1)=(96/v2)−40 (the time it takes for train 2 to transverse the distance between the stations is 40 minutes less than the required by train 2) Now, from here I get to: v1=v2−12.

96v2−12=96v2−40⟹96v2−12=96−40v2v2⟹v2⋅96=(v2−12)⋅(96−40v2)⟹v2⋅96=v2⋅96−40v22−1152−380v2⟹0=−40v22−380v2−1152

Solving this quadratic equation yields no real root