Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-42

Two cars A and B start simultaneously from a certain place at the speed of 30 km/h and 45 km/h, respectively. The car B reaches the destination 2 h earlier than A. What is the distance between the starting point and destination?

A) 90 km

B) 180 km

C) 270 km

D) 360 km

Correct Answer: B

Solution :

Let the time taken by car B to reach destination be x h.

So, the time taken by car A to reach destination is

\[(x+2)h.\]

Now \[{{S}_{1}}{{T}_{1}}={{S}_{2}}{{T}_{2}}\]

\[\Rightarrow \]\[30\times (x+2)=45\times x\]

\[\Rightarrow \]\[30x+60=45x\]

\[\Rightarrow \] \[15x=60\]

\[\therefore \] \[x=4\,\,h\]

Now, distance between starting point and destination

\[={{S}_{2}}{{T}_{2}}=45\times 4=180\,\,km\]