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`

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