Question
A motor-cycle covers 100 km with a speed of 50 km/hr.
find the speed of the motor-cycle for the next 100 km journey so that the average speed of the whole journey will be 75 km/hr.Solution
Average speed of whole journey = 75 km/hr Using the formula, average speed = 2xy/(x + y) ⇒ x = speed of first 100 km = 50 km/hr ⇒ 75 = 2 × (50 × y)/(50 + y) ⇒ 150 km/hr
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