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Two, trains, one from Howrah to 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:

12 : 3
24 : 3
36 : 7
49 : 16

Answer:- 1

Explanation:-

Solution:

\begin{aligned} 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 \end{aligned}

$\eqalign{ & {\text{Let}}\,{\text{us}}\,{\text{name}}\,{\text{the}}\,{\text{trains}}\,{\text{as}}\,{\text{A}}\,{\text{and}}\,{\text{B}}{\text{.}}\,{\text{Then}}, \cr & \left( {{\text{A's}}\,{\text{speed}}} \right):\left( {{\text{B's}}\,{\text{speed}}} \right) \cr & = \sqrt b :\sqrt a \cr & = \sqrt {16} :\sqrt 9 \cr & = 4:3\, \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} 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 \end{aligned}

$\eqalign{ & {\text{Let}}\,{\text{us}}\,{\text{name}}\,{\text{the}}\,{\text{trains}}\,{\text{as}}\,{\text{A}}\,{\text{and}}\,{\text{B}}{\text{.}}\,{\text{Then}}, \cr & \left( {{\text{A's}}\,{\text{speed}}} \right):\left( {{\text{B's}}\,{\text{speed}}} \right) \cr & = \sqrt b :\sqrt a \cr & = \sqrt {16} :\sqrt 9 \cr & = 4:3\, \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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