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PQ is a tunnel. A dog sits at the distance of 5/ 11 of PQ from P. The train whistle coming from any end of the tunnel would make the dog run. If a train approaches P and dog runs towards P the train would hit the dog at P. If the dog runs towards Q instead, it would hit the dog at Q. Find ratio of speed of train and dog?
5:2
16:5
11:1
34:3
Answers (1)
Option 3 - 11:1
######## P____5_____¶______6_____Q
"¶" is the dog located inside the tunnel PQ and #####... is a train approaching to it.
Case 1 - Dog decides to reach point P
Distance covered by Dog - 5 parts and train reaches at P
Case 2 - Dog decides to run towards point Q
At the time train reaches to point P, the dog covers 5 parts in direction of Q. Now the left out part covered by dog will be 1 part towards Q .
At the time dog covers 1 part and reaches Q, train covers whole 11 parts of tunnel and reaches from P to Q.
So, 11 part of train is eual to the 1 part covered by the dog to reach Q.
Ratio of their speeds - Train:Dog = 11:1
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