A) \[\frac{5}{4}\,\,\text{km}\]
B) \[\frac{7}{4}\,\,\text{km}\]
C) \[\frac{9}{4}\,\,\text{km}\]
D) \[\frac{11}{4}\,\,\text{km}\]
Correct Answer: B
Solution :
Let required distance be = x km |
Difference of time\[=6+6=12\]min\[=\frac{1}{5}\]h |
According to the question, \[\frac{x}{\frac{5}{2}}-\frac{x}{\frac{7}{2}}=\frac{1}{5}\] |
\[\Rightarrow \]\[\frac{2x}{5}-\frac{2x}{7}=\frac{1}{5}\]\[\Rightarrow \]\[\frac{14x-10x}{35}=\frac{1}{5}\]\[\Rightarrow \]\[\frac{4x}{35}=\frac{1}{5}\] |
\[\Rightarrow \] \[x=\frac{35}{20}=\frac{7}{4}\text{km}\] |
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