Hot Chase...

Algebra Level 2

A gangster's car, is travelling on a straight line on a road in the desert with a constant velocity of \(30 m/sec\) He is chased by two police cars , Car A and Car B. Car A is \(500 m\) away from the Gangster's Car and Car B is \(750 m\) away from the Gangster's Car. The police cars objective is to catch the gangster's car by the Car A which must overtake the gangster's car and Car B which will come at level to the Gangster's Car.

Car's A velocity is at \(40 m/sec\) and Car's B velocity at \(45 m/sec.\)

What will be the distance between Car A and Car B when Car B comes at level to the gangster's car? = \(a\)

After how many seconds will it take for Car B to come at level with the Gangster's Car? =\(b\)

Give the answer as \(a + b\).

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