Two cars A and B are moving with same speed of $45 \mathrm{~km} / \mathrm{hr}$ along same direction.

Question

Two cars A and B are moving with same speed of $45 \mathrm{~km} / \mathrm{hr}$ along same direction. If a third car C coming from the opposite\ direction with a speed of $36 \mathrm{~km} / \mathrm{hr}$ meets two cars in an interval of 5 minutes, the distance of separation of two cars A and B should be (in km)\

Professor PC Thomas Classes · Answer

The relative velocity of cars $A$ and $B$ w.r.t the car C is $(45+36) \mathrm{km} / \mathrm{hr} .=81 \mathrm{~km} / \mathrm{hr}$. Time taken cover the distance between A and $\mathrm{B}=5 \mathrm{~min}=\frac{5}{60} \mathrm{hr}$.\ $	herefore$ The distance between the two\ $=81 	imes \frac{5}{60}=6.75 \mathrm{~km}$\