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 the required distance be x km. Then, \[\frac{x}{(5/2)}-\frac{x}{(7/2)}=\frac{12}{60}\] [\[\because \]Difference between two times is 12 min] \[\Rightarrow \] \[\frac{2x}{5}-\frac{2x}{7}=\frac{1}{5}\] \[\Rightarrow \] \[14x-10x=7\] \[\Rightarrow \] \[4x=7\] \[\Rightarrow \] \[x=\frac{7}{4}\] Required distance\[=\frac{7}{4}\,\,\text{km}\]You need to login to perform this action.
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