A train enters into a tunnel AB at A and exits at B. A jackal is sitting at O in another by passing tunnal AOB,which is connected to AB at A and B, where OA is perpendicular to OB. A cat is sitting at P inside the tunnel AB making the shortest possible distance between O and P, such that AO:PB=30:32 When a train before entering into the tunnel AB makes a whistle (or siren) somewhere before A, the jackal and cat run towards A, they meet with accident (with the train) at the entrance A. Further if the cat moves towards B instead of A it again meets with accident at the exit of the tunnel by the same train coming from the same direction. If jackal moves towards OPB and cat moves towards POA who will not meet accident with the train?

Options

A. 20 km,
B. 16 km,
C. 10 km
D. can't be determine

Answer

C