Two trains,130 ,m and 110 ,m long,are moving | vedclass

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Question

(A) Let the speeds of the two trains be $v_1$ and $v_2$ (where $v_1 > v_2$) in $m/s$.Total length of the trains $L = 130 + 110 = 240 \,m$.When moving

Vedclass · Accepted Answer

$42, 38$

Vedclass · Answer

(A) Let the speeds of the two trains be $v_1$ and $v_2$ (where $v_1 > v_2$) in $m/s$.Total length of the trains $L = 130 + 110 = 240 \,m$.When moving in the same direction,relative speed is $(v_1 - v_2)$. Time taken is $60 \,s$.$v_1 - v_2 = \frac{240}{60} = 4 \,m/s$  --- (Equation $1$)When moving in opposite directions,relative speed is $(v_1 + v_2)$. Time taken is $3 \,s$.$v_1 + v_2 = \frac{240}{3} = 80 \,m/s$  --- (Equation $2$)Adding Equation $1$ and Equation $2$:$2v_1 = 84 \implies v_1 = 42 \,m/s$.Subtracting Equation $1$ from Equation $2$:$2v_2 = 76 \implies v_2 = 38 \,m/s$.Thus,the speeds are $42 \,m/s$ and $38 \,m/s$.

Two trains,$130 \,m$ and $110 \,m$ long,are moving in the same direction. The faster train takes $1 \,minute$ to pass the other completely. If they are moving in opposite directions,they pass each other completely in $3 \,seconds$. Find the speed of each train (in $m/s$).

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