TRAINS}}{\text{TOTAL SPEED of two trains}}\] \[=\frac{{{L}_{1}}+{{L}_{2}}}{{{V}_{1}}+{{V}_{2}}}=({{L}_{1}}''{{L}_{2}})\,({{V}_{1}}''{{V}_{2}})\]

"> TRAINS}}{\text{TOTAL SPEED of two trains}}\] \[=\frac{{{L}_{1}}+{{L}_{2}}}{{{V}_{1}}+{{V}_{2}}}=({{L}_{1}}''{{L}_{2}})\,({{V}_{1}}''{{V}_{2}})\]

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DIRECTIONS: In the question given below, use the following notations: A?B means ?add B to A?. A?B means ?subtract B from A?. A @ B means ?divide A by B?. A * B means 'multiply A by B?. Now, answer the following question. The time taken by two running trains in crossing each other is calculated by dividing the sum of the lengths of two trains by the total speed of the two trains. If the length of the first train is \[{{L}_{1}},\] the length of the second train is \[{{L}_{2}},\] the speed of the first train is \[{{V}_{1}}\] and the speed of the second trains is \[{{V}_{2}},\] which of the following expressions would represent the time taken?

7th Class Mathematics in 7th Class . 10 months ago

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Clearly, time taken \[=\frac{\text{sum of lengths of two TRAINS}}{\text{TOTAL SPEED of two trains}}\] \[=\frac{{{L}_{1}}+{{L}_{2}}}{{{V}_{1}}+{{V}_{2}}}=({{L}_{1}}''{{L}_{2}})\,({{V}_{1}}''{{V}_{2}})\]

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Posted on 23 Aug 2024, this text provides information on 7th Class related to Mathematics in 7th Class. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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