Train A starts its journey from Patna to Hazi | vedclass

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(C) Let the speeds of train $A$ and train $B$ be $v_A$ and $v_B$ respectively.Let the time taken by train $A$ and train $B$ to reach their destination

Vedclass · Accepted Answer

$36$

Vedclass · Answer

(C) Let the speeds of train $A$ and train $B$ be $v_A$ and $v_B$ respectively.Let the time taken by train $A$ and train $B$ to reach their destinations after crossing each other be $t_A = 81\, 	ext{hours}$ and $t_B = 121\, 	ext{hours}$.The relationship between speeds and times after crossing is given by the formula: $\frac{v_A}{v_B} = \sqrt{\frac{t_B}{t_A}}$.Substituting the given values: $\frac{44}{v_B} = \sqrt{\frac{121}{81}}$.$\frac{44}{v_B} = \frac{11}{9}$.$v_B = \frac{44 	imes 9}{11} = 4 	imes 9 = 36\, 	ext{km/h}$.

Train $A$ starts its journey from Patna to Hazipur while train $B$ starts from Hazipur to Patna. After crossing each other, they finish their journey in $81\, \text{hours}$ and $121\, \text{hours}$ respectively. What will be the speed of train $B$ if the speed of train $A$ is $44\, \text{km/h}$?

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