A) 57 days
B) 228 days
C) 285 days
D) 324 days
Correct Answer: C
Solution :
Distance/Speed/Hour per Day/days \[\mathop{_{2}^{1}\downarrow }_{{}}^{{}}\] \[\mathop{\uparrow }_{2}^{1}\] \[\mathop{\uparrow }_{6}^{15}\] \[\mathop{\downarrow }_{x}^{114}\] \[\left. \begin{matrix} 1:2 \\ 2:1 \\ 6:15 \\ \end{matrix} \right\}14:x\] \[\therefore \] \[1\times 2\times 6\times x=2\times 1\times 15\times 114\] \[\Rightarrow \] \[x=\frac{2\times 1\times 15\times 114}{2\times 6}\] \[x=285\,\text{days}\]
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