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  4. Two cars A and B are moving with same speed of 45 km/h along same direction. If a third car C coming from the opposite direction with a speed of 36 km/h meets two cars in an interval of 5 min , the distance of separation of two cars A and B should be (in km)

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

KEAMKEAM 2008Motion in a Straight Line

Solution:

$ {{v}_{rel}}=45+36=81\,km/h=81\times \frac{5}{18}m/s $
$ {{s}_{rel}}={{v}_{rel}}\times t=81\times \frac{5}{18}\times (5\times 60) $
$ =\frac{81\times 5\times 5\times 60}{18}=6750m=6.75\,km $