A train enters into a tunnel AB at A and exits at B. A jackal is sitting at 0 in another by-passing tunnel AOB, which is connected to AB at A and B, where OA is perpendicular to OB. A cat s sitting at P inside the tunnel AB making the shortest possible distance between O and P, such that AO=30 km and PB=32 km. 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. The ratio of speeds of jackal and cat is:

Explanation

`OP_|_AB`

`AO=30km`

`PB=32km`

`/_AOB=90^0`

`/_OBA=theta`

`tantheta=(OA)/(OB)=30/(OB)`

`sintheta=(OA)/(AB)=30/(AP+32)`

`In/_APO`

...