A) 27 km/h
B) 24 km/h
C) 25 km/h
D) 28 km/h
Correct Answer: A
Solution :
Let the speed of the truck = x km/h Relative speed of the bus \[=(45-x)km/h\] \[\therefore \] \[\text{Time}=\frac{\text{Distance}}{\text{Relative speed}}\] \[\Rightarrow \] \[\frac{30}{60\times 60}=\frac{\frac{500}{1000}}{(45-x)}\] \[\Rightarrow \] \[\frac{1}{120}=\frac{15}{100(45-x)}\] \[\Rightarrow \] \[\frac{1}{6}=\frac{3}{(45-x)}\] \[\Rightarrow \] \[(45-x)=18\] \[\Rightarrow \] \[x=45-18\] \[=27\,km/h\]
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