Question
A motor-cycle covers 90 km with a speed of 40 km/hr.
find the speed of the motor-cycle for the next 90 km journey so that the average speed of the whole journey will be 60 km/hr.Solution
Average speed of whole journey = 60 km/hr Using the formula, average speed = 2xy/(x + y)  x = speed of first 90 km = 40 km/hr 60 = 2 x (40 x y)/(40 + y) = 120 km/hr
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