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