Question

Two cars start towards each other, from two places A and B which are at a distance of 160 km. They start at the same time at 8:10 AM. If the speeds of the cars are 50 km per hour and 30 km per hour respectively, they will meet each other at${\text{A}}{\text{. 10:10 AM}} \\ {\text{B}}{\text{. 10:30 AM}} \\ {\text{C}}{\text{. 11:10 AM}} \\ {\text{D}}{\text{. 11:20 AM}} \\$

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Hint: Here, we will proceed by finding out the relative speed between the two cars and then using the formula i.e., Time taken$= \dfrac{{{\text{Distance travelled}}}}{{{\text{Speed}}}}$ to determine after how many hours these cars will meet each other.

As we know that, Time taken$= \dfrac{{{\text{Distance travelled}}}}{{{\text{Speed}}}}$
So, time when both the cars will meet=$\dfrac{{{\text{Initial distance between both the cars}}}}{{{\text{Relative speed between the cars}}}} = \dfrac{{\text{d}}}{{\text{r}}} = \dfrac{{160}}{{80}} = 2$ hours.