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A and B go cycling in the same direction with speeds of 6 km /hr and 12 km/hr. A car from behind passes them in 9 and 10 seconds respectively . What is the speeds of the car?

A and B go cycling in the same direction with speeds of 6 km /hr and 12 km/hr. A car from behind passes them in 9 and 10 seconds respectively . What is the speeds of the car? Correct Answer 66 km/hr

Let, Speed of the car = x km/hr Relative speed with car and A = x - 6 " " " "" B = x - 12 ATQ,x - 6x - 12 = 109⇒10x - 120 = 9x - 54⇒10x - 9x = 120 - 54.'.x = 66 km/hr 

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