A) 9.6 kmph.
B) 10 kmph.
C) 11.2 kmph.
D) Cannot be determined
Correct Answer: A
Solution :
Distance of the office = x km. Difference of time = 2 hours \[\therefore \] \[\frac{x}{8}-\frac{x}{12}=2\] \[\Rightarrow \] \[\frac{3x-2x}{24}=2\] \[\Rightarrow \] \[\frac{x}{24}=2\Rightarrow x=48km\]. \[\therefore \] Time taken at the speed of 8 kmph \[=\frac{48}{8}\] = 6 hours \[\therefore \] Required speed to reach the office at 10 a.m. i.e., in 5 hours \[=\left( \frac{48}{5} \right)\,kmph\] \[=\text{ }9.6\text{ }kmph\]
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