A) 2 km
B) \[1\frac{1}{2}\text{km}\]
C) \[1\]km
D) \[1\frac{3}{4}\text{km}\]
Correct Answer: D
Solution :
Let the required distance be x km |
Difference of time \[=6+6=12\] min\[=\frac{12}{60}=\frac{1}{5}\text{h}\] |
According to the question, |
\[\frac{x}{5}-\frac{x}{7}=\frac{1}{5}\] |
\[\Rightarrow \] \[\frac{2x}{5}-\frac{2x}{7}=\frac{1}{5}\] |
\[\Rightarrow \] \[\frac{14x-10x}{35}=\frac{1}{5}\] |
\[\Rightarrow \] \[\frac{4x}{35}=\frac{1}{5}\] |
\[\Rightarrow \] \[x=\frac{35}{4\times 5}=\frac{7}{4}=1\frac{3}{4}\,\,\text{km}\] |
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