Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-2

A bus moving at a speed of 45 km/h overtakes a truck 150 m a head going in the same direction of 30 s. The speed of the truck is

A) 27 km/h

B) 24 km/h

C) 25 km/h

D) 28 km/h

Correct Answer: A

Solution :

[a] Let the speed of the truck \[=x\text{ }km/h\]

Relative speed of the bus \[=(45-x)km/h\]

\[\therefore \] \[\text{Time}=\frac{\text{Speed}}{\text{Distance}}\]

\[\frac{30}{60\times 60}=\frac{\frac{150}{1000}}{(45-x)}\]

\[\Rightarrow \] \[\frac{1}{6}=\frac{3}{45-x}\]\[\Rightarrow \]\[45-x=18\]

\[\Rightarrow \] \[x=45-18\]\[\Rightarrow \]\[x=27\,Km/h\]