Two trains one from Howrah and Patna and the other from Patna to Howrah start simultaneously.After they meet,the trains reach their destinations after 9 hours and 16 hours respectively.The ratio of their speeds is:

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Solution

Let us name the trains as $A$ and $B$ . Then
( $A^{'}$ s speed) $:$ ( $B^{'}$ s speed) $= \sqrt{b} : \sqrt{a} = \sqrt{16} : \sqrt{9} = 4 : 3$

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Two trains one from Howrah and Patna and the other from Patna to Howrah start simultaneously.After they meet,the trains reach their destinations after 9 hours and 16 hours respectively.The ratio of their speeds is:

Let us name the trains as A and B. Then(A′s speed) : (B′s speed) =√b:√a=√16:√9=4:3

Let us name the trains as $A$ and $B$ . Then
( $A^{'}$ s speed) $:$ ( $B^{'}$ s speed) $= \sqrt{b} : \sqrt{a} = \sqrt{16} : \sqrt{9} = 4 : 3$